Comptes Rendus
Observational evidence of the accelerated expansion of the universe
[Lʼaccélération de lʼexpansion de lʼUnivers du point de vue de lʼobservation]
Comptes Rendus. Physique, Understanding the Dark Universe, Volume 13 (2012) no. 6-7, pp. 521-538.

La découverte de lʼaccélération cosmique est lʼun des développements les plus importants de la cosmologie moderne. Lʼobservation, il y a 13 ans, que les supernovae de type Ia étaient moins lumineuses quʼattendu pour un univers en phase de décélération, et une série dʼobservations indépendantes mettant en jeu des galaxies, des amas de galaxies et le rayonnement de fond cosmique, pointent toutes dans la même direction : nous semblons être dans un univers spatialement plat qui subit une phase dʼaccélération de son expansion. Dans cet article, nous passons en revue les différentes observations, la plupart obtenues au cours des 10 dernières années, et les améliorations quʼapporteront les projets actuellement en phase de prise de données ou encore en préparation.

The discovery of cosmic acceleration is one of the most important developments in modern cosmology. The observation, thirteen years ago, that type Ia supernovae appear dimmer that they would have been in a decelerating universe followed by a series of independent observations involving galaxies and cluster of galaxies as well as the cosmic microwave background, all point in the same direction: we seem to be living in a flat universe whose expansion is currently undergoing an acceleration phase. In this article, we review the various observational evidences, most of them gathered in the last decade, and the improvements expected from projects currently collecting data or in preparation.

Publié le :
DOI : 10.1016/j.crhy.2012.04.009
Keywords: Modern cosmology, Type Ia supernovae, Baryon acoustic oscillations, Weak lensing, Clusters, Dark energy
Mots-clés : Cosmologie moderne, Supernovae de type Ia, Oscillations baryoniques, Lentilles gravitationnelles, Amas de galaxies, Energie noire

Pierre Astier 1 ; Reynald Pain 1

1 Laboratoire de physique nucléaire et de hautes énergies, université Pierre-et-Marie-Curie, université Paris Diderot and CNRS/IN2P3, 4, place Jussieu, 75005 Paris, France
@article{CRPHYS_2012__13_6-7_521_0,
     author = {Pierre Astier and Reynald Pain},
     title = {Observational evidence of the accelerated expansion of the universe},
     journal = {Comptes Rendus. Physique},
     pages = {521--538},
     publisher = {Elsevier},
     volume = {13},
     number = {6-7},
     year = {2012},
     doi = {10.1016/j.crhy.2012.04.009},
     language = {en},
}
TY  - JOUR
AU  - Pierre Astier
AU  - Reynald Pain
TI  - Observational evidence of the accelerated expansion of the universe
JO  - Comptes Rendus. Physique
PY  - 2012
SP  - 521
EP  - 538
VL  - 13
IS  - 6-7
PB  - Elsevier
DO  - 10.1016/j.crhy.2012.04.009
LA  - en
ID  - CRPHYS_2012__13_6-7_521_0
ER  - 
%0 Journal Article
%A Pierre Astier
%A Reynald Pain
%T Observational evidence of the accelerated expansion of the universe
%J Comptes Rendus. Physique
%D 2012
%P 521-538
%V 13
%N 6-7
%I Elsevier
%R 10.1016/j.crhy.2012.04.009
%G en
%F CRPHYS_2012__13_6-7_521_0
Pierre Astier; Reynald Pain. Observational evidence of the accelerated expansion of the universe. Comptes Rendus. Physique, Understanding the Dark Universe, Volume 13 (2012) no. 6-7, pp. 521-538. doi : 10.1016/j.crhy.2012.04.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2012.04.009/

[1] A. Sandage The ability of the 200-INCH telescope to discriminate between selected world models, Astrophys. J., Volume 133 ( March 1961 ), p. 355

[2] A.G. Riess; A.V. Filippenko; P. Challis et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J., Volume 116 ( September 1998 ), pp. 1009-1038

[3] S. Perlmutter; G. Aldering; G. Goldhaber et al. Measurements of omega and lambda from 42 high-redshift supernovae, Astrophys. J., Volume 517 ( June 1999 ), pp. 565-586

[4] J.E. Gunn; B.M. Tinsley An accelerating universe, Nature, Volume 257 ( October 1975 ), pp. 454-457

[5] P.J.E. Peebles Tests of cosmological models constrained by inflation, Astrophys. J., Volume 284 ( September 1984 ), pp. 439-444

[6] S.J. Maddox; G. Efstathiou; W.J. Sutherland; J. Loveday Galaxy correlations on large scales, Mon. Not. Roy. Astron. Soc., Volume 242 ( January 1990 ), p. 43P-47P

[7] G. Efstathiou; W.J. Sutherland; S.J. Maddox The cosmological constant and cold dark matter, Nature, Volume 348 ( December 1990 ), pp. 705-707

[8] E.W. Kolb; M.S. Turner The Early Universe, Front. Phys., Addison–Wesley, 1990

[9] R.V. Wagoner Big-bang nucleosynthesis revisited, Astrophys. J., Volume 179 ( January 1973 ), pp. 343-360

[10] S.D.M. White; J.F. Navarro; A.E. Evrard; C.S. Frenk The baryon content of galaxy clusters: a challenge to cosmological orthodoxy, Nature, Volume 366 ( December 1993 ), pp. 429-433

[11] E.D. Loh; E.J. Spillar A measurement of the mass density of the universe, Astrophys. J., Volume 307 ( August 1986 ), p. L1-L4

[12] A. Nusser; A. Dekel Omega and the initial fluctuations from velocity and density fields, Astrophys. J., Volume 405 ( March 1993 ), pp. 437-448

[13] M. Kunz The phenomenological approach to modeling the dark energy, C. R. Physique, Volume 13 (2012), pp. 539-565 (in this issue) | DOI

[14] J. Martin Everything you always wanted to know about the cosmological constant (but were afraid to ask), C. R. Physique, Volume 13 (2012), pp. 566-665 (in this issue) | DOI

[15] C. Clarkson Establishing homogeneity of the universe in the shadow of dark energy, C. R. Physique, Volume 13 (2012), pp. 682-718 (in this issue) | DOI

[16] C. de Rham Galileons in the sky, C. R. Physique, Volume 13 (2012), pp. 666-681 (in this issue) | DOI

[17] P. de Bernardis; P.A.R. Ade; J.J. Bock et al. A flat Universe from high-resolution maps of the cosmic microwave background radiation, Nature, Volume 404 ( April 2000 ), pp. 955-959

[18] D.J. Eisenstein; I. Zehavi; D.W. Hogg et al. Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies, January 2005 | arXiv

[19] D.N. Spergel; R. Bean; O. Doré et al. Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: implications for cosmology, Astrophys. J. Supp., Volume 170 ( June 2007 ), pp. 377-408

[20] A. Blanchard; M. Douspis; M. Rowan-Robinson; S. Sarkar Large-scale galaxy correlations as a test for dark energy, Astron. Astrophys., Volume 449 ( April 2006 ), pp. 925-928

[21] M. Sullivan; J. Guy; A. Conley et al. SNLS3: constraints on dark energy combining the supernova legacy survey three-year data with other probes, Astrophys. J., Volume 737 ( August 2011 ), p. 102

[22] J.A. Peacock Cosmological Physics, Cambridge University Press, 1999

[23] A. Friedmann Über die möglichkeit einer welt mit konstanter negativer krümmung des raumes, Z. Phys. Hadrons Nucl., Volume 21 (1924), pp. 326-332 | DOI

[24] J.A. Frieman; M.S. Turner; D. Huterer Dark energy and the accelerating universe, Annu. Rev. Astron. Astrophys., Volume 46 ( September 2008 ), pp. 385-432

[25] S.M. Carroll; W.H. Press; E.L. Turner The cosmological constant, Annu. Rev. Astron. Astrophys., Volume 30 (1992), pp. 499-542

[26] I.M.H. Etherington On the definition of distance in general relativity, Philos. Mag., Volume 15 (1933), p. 761

[27] J.C. Mather; E.S. Cheng; D.A. Cottingham et al. Measurement of the cosmic microwave background spectrum by the COBE FIRAS instrument, Astrophys. J., Volume 420 ( January 1994 ), pp. 439-444

[28] D.J. Fixsen; J.C. Mather The spectral results of the far-infrared absolute spectrophotometer instrument on COBE, Astrophys. J., Volume 581 ( December 2002 ), pp. 817-822

[29] J. Hamann; Y.Y.Y. Wong The effects of cosmic microwave background (CMB) temperature uncertainties on cosmological parameter estimation, J. Cosmol. Astropart. Phys., Volume 3 ( March 2008 ), p. 25

[30] R. Keisler; C.L. Reichardt; K.A. Aird et al. A measurement of the damping tail of the cosmic microwave background power spectrum with the south pole telescope, Astrophys. J., Volume 743 ( December 2011 ), p. 28

[31] M. Doran CMBEASY: an object oriented code for the cosmic microwave background, J. Cosmol. Astropart. Phys., Volume 10 ( October 2005 ) no. 11

[32] C. Blake; E.A. Kazin; F. Beutler et al. The WiggleZ dark energy survey: mapping the distance–redshift relation with baryon acoustic oscillations, Mon. Not. Roy. Astron. Soc. ( October 2011 ), p. 1598

[33] A. Albrecht, G. Bernstein, R. Cahn, et al., Report of the dark energy task force, arXiv astrophysics e-prints, September 2006.

[34] J.A. Peacock, P. Schneider, G. Efstathiou, et al., ESA-ESO Working Group on “Fundamental Cosmology”, Technical report, October 2006.

[35] E. Komatsu; K.M. Smith; J. Dunkley et al. Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Supp., Volume 192 ( February 2011 ), p. 18

[36] W. Hu Dark energy probes in light of the CMB (S.C. Wolff; T.R. Lauer, eds.), Observing Dark Energy, Astronom. Soc. Pac. Conf. Ser., vol. 339, August 2005 , p. 215

[37] J.R. Bond; G. Efstathiou; M. Tegmark Forecasting cosmic parameter errors from microwave background anisotropy experiments, Mon. Not. Roy. Astron. Soc., Volume 291 ( November 1997 ), p. L33-L41

[38] A.G. Riess; L. Macri; S. Casertano et al. A 3% solution: determination of the Hubble constant with the Hubble space telescope and wide field camera 3, Astrophys. J., Volume 730 ( April 2011 ), p. 119

[39] N. Aghanim; S. Majumdar; J. Silk Secondary anisotropies of the CMB, Rep. Progr. Phys., Volume 71 ( June 2008 ) no. 6, p. 066902

[40] U. Seljak Gravitational lensing effect on cosmic microwave background anisotropies: a power spectrum approach, Astrophys. J., Volume 463 ( May 1996 ) no. 1

[41] R. Stompor; G. Efstathiou Gravitational lensing of cosmic microwave background anisotropies and cosmological parameter estimation, Mon. Not. Roy. Astron. Soc., Volume 302 ( February 1999 ), pp. 735-747

[42] W. Hu Weak lensing of the CMB: A harmonic approach, Phys. Rev. D, Volume 62 ( August 2000 ) no. 4, p. 043007

[43] S. Das; B.D. Sherwin; P. Aguirre et al. Detection of the power spectrum of cosmic microwave background lensing by the Atacama cosmology telescope, Phys. Rev. Lett., Volume 107 ( July 2011 ) no. 2, p. 021301

[44] B.D. Sherwin; J. Dunkley; S. Das et al. Evidence for dark energy from the cosmic microwave background alone using the Atacama cosmology telescope lensing measurements, Phys. Rev. Lett., Volume 107 ( July 2011 ) no. 2, p. 021302

[45] R.K. Sachs; A.M. Wolfe Perturbations of a cosmological model and angular variations of the microwave background, Astrophys. J., Volume 147 ( January 1967 ), p. 73

[46] R.G. Crittenden; N. Turok Doppler peaks from cosmic texture, Phys. Rev. Lett., Volume 75 ( October 1995 ), pp. 2642-2645

[47] R. Scranton, A.J. Connolly, R.C. Nichol, et al., Physical evidence for dark energy, arXiv astrophysics e-prints, July 2003.

[48] T. Giannantonio; R. Scranton; R.G. Crittenden et al. Combined analysis of the integrated Sachs–Wolfe effect and cosmological implications, Phys. Rev. D, Volume 77 ( June 2008 ) no. 12, p. 123520

[49] S. Ho; C. Hirata; N. Padmanabhan; U. Seljak; N. Bahcall Correlation of CMB with large-scale structure. I. Integrated Sachs–Wolfe tomography and cosmological implications, Phys. Rev. D, Volume 78 ( August 2008 ) no. 4, p. 043519

[50] W.J. Percival; B.A. Reid; D.J. Eisenstein et al. Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample, Mon. Not. Roy. Astron. Soc., Volume 401 ( February 2010 ), pp. 2148-2168

[51] R. Amanullah, C. Lidman, D. Rubin, et al., Spectra and light curves of six type Ia supernovae at 0.511 <z<1.12 and the Union2 compilation, arXiv e-prints, April 2010.

[52] R. Laureijs, J. Amiaux, S. Arduini, et al., Euclid definition study report, arXiv e-prints, October 2011.

[53] P. Mukherjee; M. Kunz; D. Parkinson; Y. Wang Planck priors for dark energy surveys, Phys. Rev. D, Volume 78 ( October 2008 ) no. 8, p. 083529

[54] E. Hubble A Relation between distance and radial velocity among Extra-Galactic nebulae, Proc. Natl. Acad. Sci., Volume 15 ( March 1929 ), pp. 168-173

[55] J.P. Ostriker; S.D. Tremaine Another evolutionary correction to the luminosity of giant galaxies, Astrophys. J., Volume 202 ( December 1975 ), p. L113-L117

[56] C.T. Kowal Absolute magnitudes of supernovae, Astron. J., Volume 73 ( December 1968 ), pp. 1021-1024

[57] R.P. Kirshner; J. Kwan Distances to extragalactic supernovae, Astrophys. J., Volume 193 ( October 1974 ), pp. 27-36

[58] R.V. Wagoner Determining q0 from supernovae, Astrophys. J., Volume 214 ( May 1977 ), p. L5

[59] L.A.L. da Silva The classification of supernovae, Astrophys. Space Sci., Volume 202 ( April 1993 ), pp. 215-236

[60] A.V. Filippenko Optical spectra of supernovae, Annu. Rev. Astron. Astrophys., Volume 35 (1997), pp. 309-355

[61] D.A. Howell Type Ia supernovae as stellar endpoints and cosmological tools, Nat. Commun., Volume 2 ( June 2011 )

[62] M. Hamuy; M.M. Phillips; N.B. Suntzeff et al. The Hubble diagram of the Calan/Tololo type IA supernovae and the value of HO, Astron. J., Volume 112 ( December 1996 ), p. 2398

[63] B. Leibundgut, Light curves of supernovae type, I, PhD thesis, Univ. Basel, 1988, 137 pp.

[64] C. Contreras; M. Hamuy; M.M. Phillips et al. The Carnegie supernova project: First photometry data release of low-redshift type Ia supernovae, Astron. J., Volume 139 ( February 2010 ), pp. 519-539

[65] M. Hamuy; M.M. Phillips; N.B. Suntzeff et al. BVRI light curves for 29 type IA supernovae, Astron. J., Volume 112 ( December 1996 ), p. 2408

[66] Y.P. Pskovskii Photometric classification and basic parameters of type I supernovae, Soviet Astron., Volume 28 ( December 1984 ), p. 658

[67] M.M. Phillips The absolute magnitudes of type Ia supernovae, Astrophys. J., Volume 413 ( August 1993 ), p. L105-L108

[68] L. Hansen; H.E. Jorgensen; H.U. Norgaard-Nielsen Search for supernovae in distant clusters of galaxies, The Messenger, Volume 47 ( March 1987 ), pp. 46-49

[69] H.U. Norgaard-Nielsen; L. Hansen; H.E. Jorgensen; A. Aragon Salamanca; R.S. Ellis The discovery of a type IA supernova at a redshift of 0.31, Nature, Volume 339 ( June 1989 ), pp. 523-525

[70] C. Alard; R.H. Lupton A method for optimal image subtraction, Astrophys. J., Volume 503 ( August 1998 ), p. 325

[71] R.A. Knop; G. Aldering; R. Amanullah et al. New constraints on ΩM, ΩΛ, and w from an independent set of 11 high-redshift supernovae observed with the Hubble space telescope, Astrophys. J., Volume 598 ( November 2003 ), pp. 102-137

[72] A.G. Riess; L. Strolger; J. Tonry et al. Type Ia supernova discoveries at z>1 from the Hubble space telescope: evidence for past deceleration and constraints on dark energy evolution, Astrophys. J., Volume 607 ( June 2004 ), pp. 665-687

[73] A.G. Riess; L.-G. Strolger; S. Casertano et al. New Hubble space telescope discoveries of type Ia supernovae at z1: narrowing constraints on the early behavior of dark energy, Astrophys. J., Volume 659 ( April 2007 ), pp. 98-121

[74] A. Conley; J. Guy; M. Sullivan et al. Supernova constraints and systematic uncertainties from the first three years of the supernova legacy survey, Astrophys. J. Supp., Volume 1 ( January 2011 ), p. 192

[75] N. Suzuki; D. Rubin; C. Lidman et al. The Hubble space telescope cluster supernova survey. V. Improving the dark-energy constraints above z>1 and building an early-type-hosted supernova sample, Astrophys. J., Volume 746 ( February 2012 ), p. 85

[76] J. Guy; M. Sullivan; A. Conley et al. The supernova legacy survey 3-year sample: Type Ia supernovae photometric distances and cosmological constraints, Astron. Astrophys. A, Volume 523 ( November 2010 ), p. A7

[77] R. Kessler; A.C. Becker; D. Cinabro et al. First-year Sloan digital sky survey-II supernova results: Hubble diagram and cosmological parameters, Astrophys. J. Supp., Volume 185 ( November 2009 ), pp. 32-84

[78] P. Astier; J. Guy; N. Regnault et al. The supernova legacy survey: measurement of ΩM, ΩΛ and w from the first year data set, Astron. Astrophys., Volume 447 ( February 2006 ), pp. 31-48

[79] W.M. Wood-Vasey; G. Miknaitis; C.W. Stubbs et al. Observational constraints on the nature of dark energy: First cosmological results from the ESSENCE supernova survey, Astrophys. J., Volume 666 ( September 2007 ), pp. 694-715

[80] M. Tegmark Measuring cosmological parameters with galaxy surveys, Phys. Rev. Lett., Volume 79 ( November 1997 ), pp. 3806-3809

[81] S. Cole; W.J. Percival; J.A. Peacock et al. The 2dF galaxy redshift survey: power-spectrum analysis of the final data set and cosmological implications, Mon. Not. Roy. Astron. Soc., Volume 362 ( September 2005 ), pp. 505-534

[82] N. Padmanabhan; D.J. Schlegel; U. Seljak et al. The clustering of luminous red galaxies in the Sloan Digital Sky Survey imaging data, Mon. Not. Roy. Astron. Soc., Volume 378 ( July 2007 ), pp. 852-872

[83] C. Blake; E.A. Kazin; F. Beutler et al. The WiggleZ dark energy survey: mapping the distance–redshift relation with baryon acoustic oscillations, Mon. Not. Roy. Astron. Soc., Volume 418 ( December 2011 ), pp. 1707-1724

[84] D.J. Eisenstein; H.-J. Seo; E. Sirko; D.N. Spergel Improving cosmological distance measurements by reconstruction of the baryon acoustic peak, Astrophys. J., Volume 664 ( August 2007 ), pp. 675-679

[85] N. Padmanabhan, X. Xu, D.J. Eisenstein, et al., A 2% distance to z=0.35 by reconstructing baryon acoustic oscillations. I. Methods and application to the Sloan digital sky survey, arXiv e-prints, January 2012.

[86] N. Kaiser Clustering in real space and in redshift space, Mon. Not. Roy. Astron. Soc., Volume 227 ( July 1987 ), pp. 1-21

[87] A.J.S. Hamilton; M. Tegmark; N. Padmanabhan Linear redshift distortions and power in the IRAS Point Source Catalog Redshift Survey, Mon. Not. Roy. Astron. Soc., Volume 317 ( September 2000 ), p. L23-L27

[88] A.N. Taylor, W.E. Ballinger, A.F. Heavens, H. Tadros, Application of data compression methods to the redshift-space distortions of the PSCz galaxy catalogue, arXiv astrophysics e-prints, July 2000.

[89] P.J. Outram; F. Hoyle; T. Shanks The Durham/UKST Galaxy Redshift Survey. VII. Redshift-space distortions in the power spectrum, Mon. Not. Roy. Astron. Soc., Volume 321 ( March 2001 ), pp. 497-501

[90] J.A. Peacock; S. Cole; P. Norberg et al. A measurement of the cosmological mass density from clustering in the 2dF Galaxy redshift survey, Nature, Volume 410 ( March 2001 ), pp. 169-173

[91] N.P. Ross; J. da Ângela; T. Shanks et al. The 2dF-SDSS LRG and QSO Survey: the LRG 2-point correlation function and redshift-space distortions, Mon. Not. Roy. Astron. Soc., Volume 381 ( October 2007 ), pp. 573-588

[92] L. Guzzo; M. Pierleoni; B. Meneux et al. A test of the nature of cosmic acceleration using galaxy redshift distortions, Nature, Volume 451 ( January 2008 ), pp. 541-544

[93] C. Blake; S. Brough; M. Colless et al. The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9, Mon. Not. Roy. Astron. Soc., Volume 415 ( August 2011 ), pp. 2876-2891

[94] J.E. Gunn; J.B. Oke Spectrophotometry of faint cluster galaxies and the Hubble diagram – an approach to cosmology, Astrophys. J., Volume 195 ( January 1975 ), pp. 255-268

[95] J. Kristian; A. Sandage; J.A. Westphal The extension of the Hubble diagram. II. New redshifts and photometry of very distant galaxy clusters – First indication of a deviation of the Hubble diagram from a straight line, Astrophys. J., Volume 221 ( April 1978 ), pp. 383-394

[96] A. Sandage; J. Kristian; J.A. Westphal The extension of the Hubble diagram. I. New redshifts and BVR photometry of remote cluster galaxies, and an improved richness correction, Astrophys. J., Volume 205 ( May 1976 ), pp. 688-695

[97] J.P. Henry; A.E. Evrard; H. Hoekstra; A. Babul; A. Mahdavi The X-ray cluster normalization of the matter power spectrum, Astrophys. J., Volume 691 ( February 2009 ), pp. 1307-1321

[98] R. Mandelbaum; U. Seljak; T. Baldauf; R.E. Smith Precision cluster mass determination from weak lensing, Mon. Not. Roy. Astron. Soc., Volume 405 ( July 2010 ), pp. 2078-2102

[99] M. White; L. van Waerbeke; J. Mackey Completeness in weak-lensing searches for clusters, Astrophys. J., Volume 575 ( August 2002 ), pp. 640-649

[100] H. Hoekstra; J. Hartlap; S. Hilbert; E. van Uitert Effects of distant large-scale structure on the precision of weak lensing mass measurements, Mon. Not. Roy. Astron. Soc., Volume 412 ( April 2011 ), pp. 2095-2103

[101] M. Arnaud; E. Pointecouteau; G.W. Pratt The structural and scaling properties of nearby galaxy clusters. II. The M–T relation, Astron. Astrophys., Volume 441 ( October 2005 ), pp. 893-903

[102] J.E. Carlstrom; G.P. Holder; E.D. Reese Cosmology with the Sunyaev–Zelʼdovich effect, Annu. Rev. Astron. Astrophys., Volume 40 (2002), pp. 643-680

[103] S. Miyazaki; T. Hamana; R.S. Ellis et al. A Subaru weak-lensing survey. I. Cluster candidates and spectroscopic verification, Astrophys. J., Volume 669 ( November 2007 ), pp. 714-728

[104] A. Vikhlinin; A.V. Kravtsov; R.A. Burenin et al. Chandra cluster cosmology project III: Cosmological parameter constraints, Astrophys. J., Volume 692 ( February 2009 ), pp. 1060-1074

[105] A. Mantz; S.W. Allen; D. Rapetti; H. Ebeling The observed growth of massive galaxy clusters – I. Statistical methods and cosmological constraints, Mon. Not. Roy. Astron. Soc., Volume 406 ( August 2010 ), pp. 1759-1772

[106] R.A. Burenin, A.A. Vikhlinin, Cosmological parameters constraints from galaxy cluster mass function measurements in combination with other cosmological data, arXiv e-prints, February 2012.

[107] S.W. Allen; A.E. Evrard; A.B. Mantz Cosmological parameters from observations of galaxy clusters, Annu. Rev. Astron. Astrophys., Volume 49 ( September 2011 ), pp. 409-470

[108] Y. Mellier Probing the universe with weak lensing, Annu. Rev. Astron. Astrophys., Volume 37 (1999), pp. 127-189

[109] M. Bartelmann; P. Schneider Weak gravitational lensing, Phys. Rep., Volume 340 ( January 2001 ), pp. 291-472

[110] A. Refregier Weak gravitational lensing by large-scale structure, Annu. Rev. Astron. Astrophys., Volume 41 (2003), pp. 645-668

[111] W. Hu Power spectrum tomography with weak lensing, Astrophys. J., Volume 522 ( September 1999 ), p. L21-L24

[112] A. Amara; A. Réfrégier Optimal surveys for weak-lensing tomography, Mon. Not. Roy. Astron. Soc., Volume 381 ( November 2007 ), pp. 1018-1026

[113] L. Van Waerbeke; Y. Mellier; T. Erben et al. Detection of correlated galaxy ellipticities from CFHT data: first evidence for gravitational lensing by large-scale structures, Astron. Astrophys., Volume 358 ( June 2000 ), pp. 30-44

[114] D.J. Bacon; A.R. Refregier; R.S. Ellis Detection of weak gravitational lensing by large-scale structure, Mon. Not. Roy. Astron. Soc., Volume 318 ( October 2000 ), pp. 625-640

[115] D.M. Wittman; J.A. Tyson; D. Kirkman; I. DellʼAntonio; G. Bernstein Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales, Nature, Volume 405 ( May 2000 ), pp. 143-148

[116] N. Scoville; R.G. Abraham; H. Aussel et al. COSMOS: Hubble space telescope observations, Astrophys. J. Supp., Volume 172 ( September 2007 ), pp. 38-45

[117] T. Schrabback; J. Hartlap; B. Joachimi et al. Evidence of the accelerated expansion of the Universe from weak lensing tomography with COSMOS, Astron. Astrophys., Volume 516 ( June 2010 ), p. A63

[118] L. Fu; E. Semboloni; H. Hoekstra et al. Very weak lensing in the CFHTLS wide: cosmology from cosmic shear in the linear regime, Astron. Astrophys., Volume 479 ( February 2008 ), pp. 9-25

[119] L.M. Krauss; B. Chaboyer Age estimates of globular clusters in the milky way: Constraints on cosmology, Science, Volume 299 ( January 2003 ), pp. 65-70

[120] J. Dunkley; E. Komatsu; M.R. Nolta et al. Five-year Wilkinson microwave anisotropy probe observations: likelihoods and parameters from the WMAP data, Astrophys. J. Supp., Volume 180 ( February 2009 ), pp. 306-329

[121] M. Kowalski; D. Rubin; G. Aldering et al. Improved cosmological constraints from new, old, and combined supernova data sets, Astrophys. J., Volume 686 ( October 2008 ), pp. 749-778

[122] W.J. Percival; B.A. Reid; D.J. Eisenstein et al. Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample, Mon. Not. Roy. Astron. Soc., Volume 401 ( February 2010 ), pp. 2148-2168

[123] S.W. Allen; D.A. Rapetti; R.W. Schmidt et al. Improved constraints on dark energy from Chandra X-ray observations of the largest relaxed galaxy clusters, Mon. Not. Roy. Astron. Soc., Volume 383 ( January 2008 ), pp. 879-896

[124] M. Chevallier; D. Polarski Accelerating universes with scaling dark matter, Internat. J. Modern Phys. D, Volume 10 (2001), pp. 213-223

[125] J.P. Bernstein, R. Kessler, S. Kuhlmann, et al., Supernova simulations and strategies for the dark energy survey, arXiv e-prints, November 2011.

[126] P. Astier; J. Guy; R. Pain; C. Balland Dark energy constraints from a space-based supernova survey, Astron. Astrophys., Volume 525 ( January 2011 ), p. A7

[127] J. Zhang; E. Komatsu Cosmic shears should not be measured in conventional ways, Mon. Not. Roy. Astron. Soc., Volume 414 ( June 2011 ), pp. 1047-1058

[128] S. Paulin-Henriksson; A. Refregier; A. Amara Optimal point spread function modeling for weak lensing: complexity and sparsity, Astron. Astrophys., Volume 500 ( June 2009 ), pp. 647-655

[129] S. Bridle, S.T. Balan, M. Bethge, et al., Results of the GREAT08 challenge: An image analysis competition for cosmological lensing, arXiv e-prints, August 2009.

[130] A. Amara; A. Réfrégier Systematic bias in cosmic shear: extending the Fisher matrix, Mon. Not. Roy. Astron. Soc., Volume 391 ( November 2008 ), pp. 228-236

[131] M. Sato; T. Hamana; R. Takahashi et al. Simulations of Wide-Field weak lensing surveys. I. Basic statistics and non-Gaussian effects, Astrophys. J., Volume 701 ( August 2009 ), pp. 945-954

[132] E. Semboloni; H. Hoekstra; J. Schaye; M.P. van Daalen; I.G. McCarthy Quantifying the effect of baryon physics on weak lensing tomography, Mon. Not. Roy. Astron. Soc., Volume 417 ( November 2011 ), pp. 2020-2035

[133] L. van Waerbeke Shear and magnification: cosmic complementarity, Mon. Not. Roy. Astron. Soc., Volume 401 ( January 2010 ), pp. 2093-2100

[134] L. Anderson, E. Aubourg, S. Bailey, et al., The clustering of galaxies in the SDSS-III baryon oscillation spectroscopic survey: baryon acoustic oscillations in the Data Release 9 spectroscopic galaxy sample, arXiv e-prints, March 2012.

[135] J.M. Le Goff; C. Magneville; E. Rollinde et al. Simulations of BAO reconstruction with a quasar Ly-α survey, Astron. Astrophys., Volume 534 ( October 2011 ), p. A135

[136] D. Schlegel, F. Abdalla, T. Abraham, et al., The BigBOSS experiment, arXiv e-prints, June 2011.

  • Alimzhan Babaev Description of Lorentz Transformations, the Doppler Effect, Hubble's Law, and Related Phenomena in Curvilinear Coordinates by Generalized Biquaternions, American Journal of Astronomy and Astrophysics, Volume 12 (2025) no. 1, p. 9 | DOI:10.11648/j.ajaa.20251201.12
  • Furqan Nazeer; Tooba Feroze Karmarkar Bardeen anisotropic model for compact stars in F(R,T) gravity, Astrophysics and Space Science, Volume 370 (2025) no. 3 | DOI:10.1007/s10509-025-04423-w
  • S R Bhoyar; Yash B Ingole; A P Kale Generalized ghost pilgrim dark energy fractal cosmology with observational constraint, Physica Scripta, Volume 100 (2025) no. 1, p. 015026 | DOI:10.1088/1402-4896/ad9967
  • N. T. Katre; Kalpana Pawar; A. K. Dabre Physical Acceptability Of The Renyi Holographic Dark Energy Model Under The Hubble's Cutoff In F(T, B) Gravity, Astrophysics (2024), p. 105 | DOI:10.54503/0002-3051-2024.77.1-105
  • N. T. Karte; Kaplana Pawar; A. K. Dabre Physical Acceptability of the Renyi Holographic Dark Energy Model Under the Hubble's Cutoff in f (T, B) Gravity, Astrophysics, Volume 67 (2024) no. 1, p. 93 | DOI:10.1007/s10511-024-09820-7
  • Xin-Yun 馨匀 Hu 胡; M. Israr Aslam; Rabia Saleem; Xiao-Xiong 晓雄 Zeng 曾 Dynamics of holographic images of scalar-tensor-vector gravity-AdS black holes*, Chinese Physics C, Volume 48 (2024) no. 9, p. 095108 | DOI:10.1088/1674-1137/ad57a5
  • Qian Li; Yu Zhang; Qi-Quan Li; Qi Sun Thermal fluctuations, deflection angle, and greybody factor of a high-dimensional Schwarzschild black hole in scalar–tensor–vector gravity, Communications in Theoretical Physics, Volume 76 (2024) no. 11, p. 115402 | DOI:10.1088/1572-9494/ad5d90
  • Khandro K. Chokyi; Surajit Chattopadhyay Probing the cosmology of f(Q,T) gravity with holographic background fluid, International Journal of Modern Physics D, Volume 33 (2024) no. 02 | DOI:10.1142/s0218271824500020
  • Sudip Halder; Supriya Pan; Paulo M. Sá; Tapan Saha Coupled phantom cosmological model motivated by the warm inflationary paradigm, Physical Review D, Volume 110 (2024) no. 6 | DOI:10.1103/physrevd.110.063529
  • Adnan Malik; Tayyaba Naz; Aimen Rauf; M. Farasat Shamir; Z. Yousaf f(R, T) gravity bouncing universe with cosmological parameters, The European Physical Journal Plus, Volume 139 (2024) no. 3 | DOI:10.1140/epjp/s13360-024-05006-4
  • Paulo M. Sá Coupled Quintessence Inspired by Warm Inflation, Universe, Volume 10 (2024) no. 8, p. 324 | DOI:10.3390/universe10080324
  • A.Y. Shaikh Examining the physical viability of the f(R) gravity via observational constraints, Chinese Journal of Physics, Volume 86 (2023), p. 628 | DOI:10.1016/j.cjph.2023.09.020
  • Kishor S. Wankhade; Alfred Shaikh; Siraj N. Khan Renyi Holographic Dark Energy Model in f(R) Gravity with Hubble's IR Cut-Off, East European Journal of Physics (2023) no. 3, p. 87 | DOI:10.26565/2312-4334-2023-3-06
  • Amine Bouali; Himanshu Chaudhary; Saadia Mumtaz; G. Mustafa; S. K. Maurya Observational Constraining Study of New Deceleration Parameters in FRW Universe, Fortschritte der Physik, Volume 71 (2023) no. 10-11 | DOI:10.1002/prop.202300033
  • Safae Dahmani; Amine Bouali; Imad El Bojaddaini; Ahmed Errahmani; Taoufik Ouali Constraining neutrino properties and smoothing the Hubble tension via the LSBR model, General Relativity and Gravitation, Volume 55 (2023) no. 1 | DOI:10.1007/s10714-023-03066-y
  • Bhupendra Kumar Shukla; R. K. Tiwari; D. Sofuoğlu Observational constraints on a transit cosmological model in f(R,G) gravity, International Journal of Geometric Methods in Modern Physics, Volume 20 (2023) no. 12 | DOI:10.1142/s0219887823502109
  • S. H. Shekh; M. Muzammil; R. V. Mapari; G. U. Khapekar; A. Dixit Exploring holographic dark energy with Hubble’s and Granda–Oliveros horizons as the infrared cut-off in non-static plane symmetric space-time, International Journal of Geometric Methods in Modern Physics, Volume 20 (2023) no. 13 | DOI:10.1142/s021988782350233x
  • Himanshu Chaudhary; Amine Bouali; Ujjal Debnath; Tanusree Roy; G Mustafa Constraints on the parameterized deceleration parameter in FRW universe, Physica Scripta, Volume 98 (2023) no. 9, p. 095006 | DOI:10.1088/1402-4896/acea02
  • Lodovico Capuano; Luca Santoni; Enrico Barausse Black hole hairs in scalar-tensor gravity and the lack thereof, Physical Review D, Volume 108 (2023) no. 6 | DOI:10.1103/physrevd.108.064058
  • Rahul Kumar Thakur; Shashikant Gupta; Rahul Nigam; PK Thiruvikraman Investigating the Hubble Tension Through Hubble Parameter Data, Research in Astronomy and Astrophysics, Volume 23 (2023) no. 6, p. 065017 | DOI:10.1088/1674-4527/acd0e8
  • Y. Sobhanbabu; M. Vijaya Santhi Bianchi type-III Renyi holograghic dark energy models a in scalar tensor theory, General Relativity and Gravitation, Volume 54 (2022) no. 8 | DOI:10.1007/s10714-022-02979-4
  • Sarath N; Titus K Mathew Running vacuum model versus ΛCDM – a Bayesian analysis, Monthly Notices of the Royal Astronomical Society, Volume 510 (2022) no. 4, p. 5553 | DOI:10.1093/mnras/stab3773
  • Hai-Chao Zhang; Xin-Ping Xu; Jing-Fang Zhang; Chuan Wang Could trapped quintessence account for the laser-detuning-dependent acceleration of cold atoms in varying-frequency time-of-flight experiments?, Physical Review D, Volume 105 (2022) no. 10 | DOI:10.1103/physrevd.105.102006
  • José M. Frade Toward a gravitational theory based on mass-induced accelerated space expansion, Physics Essays, Volume 35 (2022) no. 3, p. 258 | DOI:10.4006/0836-1398-35.3.258
  • Giuseppe Sarracino; Alessandro D. A. M. Spallicci; Salvatore Capozziello Investigating dark energy by electromagnetic frequency shifts II: the Pantheon+ sample, The European Physical Journal Plus, Volume 137 (2022) no. 12 | DOI:10.1140/epjp/s13360-022-03595-6
  • Alessandro D. A. M. Spallicci; Giuseppe Sarracino; Salvatore Capozziello Investigating dark energy by electromagnetic frequency shifts, The European Physical Journal Plus, Volume 137 (2022) no. 2 | DOI:10.1140/epjp/s13360-022-02450-y
  • Airong Hu; Guoqing Huang Chaos in a Magnetized Brane-World Spacetime Using Explicit Symplectic Integrators, Universe, Volume 8 (2022) no. 7, p. 369 | DOI:10.3390/universe8070369
  • Sebastián Nájera; Aldo Gamboa; Alejandro Aguilar-Nieto; Celia Escamilla-Rivera On negative mass cosmology in General Relativity, Astronomy Astrophysics, Volume 651 (2021), p. L13 | DOI:10.1051/0004-6361/202141394
  • Santosh V Lohakare; S K Tripathy; B Mishra Cosmological model with time varying deceleration parameter in F(R, G) gravity, Physica Scripta, Volume 96 (2021) no. 12, p. 125039 | DOI:10.1088/1402-4896/ac40d6
  • Rahul Kumar Thakur; Meghendra Singh; Shashikant Gupta; Rahul Nigam Cosmological analysis using Panstarrs data: Hubble constant and direction dependence, Physics of the Dark Universe, Volume 34 (2021), p. 100894 | DOI:10.1016/j.dark.2021.100894
  • Muhamad Zahid Mughal; Iftikhar Ahmad A multi-field tachyon-quintom model of dark energy and fate of the universe, The European Physical Journal Plus, Volume 136 (2021) no. 5 | DOI:10.1140/epjp/s13360-021-01547-0
  • Salim Harun Shekh; Pedro H. R. S. Moraes; Pradyumn Kumar Sahoo Physical Acceptability of the Renyi, Tsallis and Sharma-Mittal Holographic Dark Energy Models in the f(T,B) Gravity under Hubble’s Cutoff, Universe, Volume 7 (2021) no. 3, p. 67 | DOI:10.3390/universe7030067
  • Umesh Kumar Sharma; Vipin Chandra Dubey Rényi holographic dark energy in the Brans–Dicke cosmology, Modern Physics Letters A, Volume 35 (2020) no. 34, p. 2050281 | DOI:10.1142/s0217732320502818
  • Md. Manirul Ali; Wei-Ming Huang; Wei-Min Zhang Quantum thermodynamics of single particle systems, Scientific Reports, Volume 10 (2020) no. 1 | DOI:10.1038/s41598-020-70450-y
  • Andrea Addazi; Stephon Alexander; Antonino Marcianò Invisible QCD as Dark Energy, Universe, Volume 6 (2020) no. 6, p. 75 | DOI:10.3390/universe6060075
  • Emilio Elizalde Zeta Functions and the Cosmos—A Basic Brief Review, Universe, Volume 7 (2020) no. 1, p. 5 | DOI:10.3390/universe7010005
  • A Rebassa-Mansergas; S Toonen; V Korol; S Torres Where are the double-degenerate progenitors of Type Ia supernovae?, Monthly Notices of the Royal Astronomical Society, Volume 482 (2019) no. 3, p. 3656 | DOI:10.1093/mnras/sty2965
  • Sunny Vagnozzi; Suhail Dhawan; Martina Gerbino; Katherine Freese; Ariel Goobar; Olga Mena Constraints on the sum of the neutrino masses in dynamical dark energy models with w(z)≥−1 are tighter than those obtained in ΛCDM, Physical Review D, Volume 98 (2018) no. 8 | DOI:10.1103/physrevd.98.083501
  • Binayak S Choudhury; Himadri Shekhar Mondal; Devosmita Chatterjee Some dynamical aspects of interacting quintessence model, Pramana, Volume 90 (2018) no. 4 | DOI:10.1007/s12043-018-1544-y
  • Shadab Alam; Metin Ata; Stephen Bailey; Florian Beutler; Dmitry Bizyaev; Jonathan A. Blazek; Adam S. Bolton; Joel R. Brownstein; Angela Burden; Chia-Hsun Chuang; Johan Comparat; Antonio J. Cuesta; Kyle S. Dawson; Daniel J. Eisenstein; Stephanie Escoffier; Héctor Gil-Marín; Jan Niklas Grieb; Nick Hand; Shirley Ho; Karen Kinemuchi; David Kirkby; Francisco Kitaura; Elena Malanushenko; Viktor Malanushenko; Claudia Maraston; Cameron K. McBride; Robert C. Nichol; Matthew D. Olmstead; Daniel Oravetz; Nikhil Padmanabhan; Nathalie Palanque-Delabrouille; Kaike Pan; Marcos Pellejero-Ibanez; Will J. Percival; Patrick Petitjean; Francisco Prada; Adrian M. Price-Whelan; Beth A. Reid; Sergio A. Rodríguez-Torres; Natalie A. Roe; Ashley J. Ross; Nicholas P. Ross; Graziano Rossi; Jose Alberto Rubiño-Martín; Shun Saito; Salvador Salazar-Albornoz; Lado Samushia; Ariel G. Sánchez; Siddharth Satpathy; David J. Schlegel; Donald P. Schneider; Claudia G. Scóccola; Hee-Jong Seo; Erin S. Sheldon; Audrey Simmons; Anže Slosar; Michael A. Strauss; Molly E. C. Swanson; Daniel Thomas; Jeremy L. Tinker; Rita Tojeiro; Mariana Vargas Magaña; Jose Alberto Vazquez; Licia Verde; David A. Wake; Yuting Wang; David H. Weinberg; Martin White; W. Michael Wood-Vasey; Christophe Yèche; Idit Zehavi; Zhongxu Zhai; Gong-Bo Zhao The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample, Monthly Notices of the Royal Astronomical Society, Volume 470 (2017) no. 3, p. 2617 | DOI:10.1093/mnras/stx721
  • A. Rebassa-Mansergas; J. J. Ren; P. Irawati; E. García-Berro; S. G. Parsons; M. R. Schreiber; B. T. Gänsicke; P. Rodríguez-Gil; X. Liu; C. Manser; S. P. Nevado; F. Jiménez-Ibarra; R. Costero; J. Echevarría; R. Michel; M. Zorotovic; M. Hollands; Z. Han; A. Luo; E. Villaver; X. Kong The white dwarf binary pathways survey – II. Radial velocities of 1453 FGK stars with white dwarf companions from LAMOST DR 4, Monthly Notices of the Royal Astronomical Society, Volume 472 (2017) no. 4, p. 4193 | DOI:10.1093/mnras/stx2259
  • Walter James Christensen Jr. Calculating God from the God Particle, Journal of Modern Physics, Volume 07 (2016) no. 02, p. 237 | DOI:10.4236/jmp.2016.72024
  • J. A. Peacock; N. C. Hambly; M. Bilicki; H. T. MacGillivray; L. Miller; M. A. Read; S. B. Tritton The SuperCOSMOS all-sky galaxy catalogue, Monthly Notices of the Royal Astronomical Society, Volume 462 (2016) no. 2, p. 2085 | DOI:10.1093/mnras/stw1818
  • Manuel E. Rodrigues; Ednaldo L. B. Junior; Glauber T. Marques; Vilson T. Zanchin Regular black holes inf(R)gravity coupled to nonlinear electrodynamics, Physical Review D, Volume 94 (2016) no. 2 | DOI:10.1103/physrevd.94.024062
  • Ivan Debono; George Smoot General Relativity and Cosmology: Unsolved Questions and Future Directions, Universe, Volume 2 (2016) no. 4, p. 23 | DOI:10.3390/universe2040023
  • Lorenzo Iorio Gravitational anomalies in the solar system?, International Journal of Modern Physics D, Volume 24 (2015) no. 06, p. 1530015 | DOI:10.1142/s0218271815300153
  • Philippe Brax; Anne-Christine Davis Distinguishing modified gravity models, Journal of Cosmology and Astroparticle Physics, Volume 2015 (2015) no. 10, p. 042 | DOI:10.1088/1475-7516/2015/10/042
  • Francesco Pace; Marco Baldi; Lauro Moscardini; David Bacon; Robert Crittenden Ray-tracing simulations of coupled dark energy models, Monthly Notices of the Royal Astronomical Society, Volume 447 (2015) no. 1, p. 858 | DOI:10.1093/mnras/stu2513
  • Víctor H. Cárdenas; Norman Cruz; J. R. Villanueva Testing a dissipative kinetic k-essence model, The European Physical Journal C, Volume 75 (2015) no. 4 | DOI:10.1140/epjc/s10052-015-3366-0
  • Carlos Custodio; Nora Bretón Diameter Angular Distance in Locally Inhomogeneous Models, Accelerated Cosmic Expansion, Volume 38 (2014), p. 75 | DOI:10.1007/978-3-319-02063-1_6
  • Jonathan A. Pearson Material models of dark energy, Annalen der Physik, Volume 526 (2014) no. 7-8, p. 318 | DOI:10.1002/andp.201400052
  • Philippe Brax Environmental variation of constants in screened modified theories of gravity, Physical Review D, Volume 90 (2014) no. 2 | DOI:10.1103/physrevd.90.023505
  • Marco Baldi Structure formation in multiple dark matter cosmologies with long-range scalar interactions, Monthly Notices of the Royal Astronomical Society, Volume 428 (2013) no. 3, p. 2074 | DOI:10.1093/mnras/sts169
  • Philippe Brax; Guillaume Pignol; Damien Roulier Probing strongly coupled chameleons with slow neutrons, Physical Review D, Volume 88 (2013) no. 8 | DOI:10.1103/physrevd.88.083004
  • Omer Farooq; Bharat Ratra Constraints on dark energy from the Lyα forest baryon acoustic oscillations measurement of the redshift 2.3 Hubble parameter, Physics Letters B, Volume 723 (2013) no. 1-3, p. 1 | DOI:10.1016/j.physletb.2013.04.044
  • David H. Weinberg; Michael J. Mortonson; Daniel J. Eisenstein; Christopher Hirata; Adam G. Riess; Eduardo Rozo Observational probes of cosmic acceleration, Physics Reports, Volume 530 (2013) no. 2, p. 87 | DOI:10.1016/j.physrep.2013.05.001
  • Martin Kunz The phenomenological approach to modeling the dark energy, Comptes Rendus. Physique, Volume 13 (2012) no. 6-7, p. 539 | DOI:10.1016/j.crhy.2012.04.007
  • Jérôme Martin Everything you always wanted to know about the cosmological constant problem (but were afraid to ask), Comptes Rendus. Physique, Volume 13 (2012) no. 6-7, p. 566 | DOI:10.1016/j.crhy.2012.04.008

Cité par 58 documents. Sources : Crossref

Commentaires - Politique


Il n'y a aucun commentaire pour cet article. Soyez le premier à écrire un commentaire !


Publier un nouveau commentaire:

Publier une nouvelle réponse: