Comptes Rendus
Numerical simulations of black-hole binaries and gravitational wave emission
Comptes Rendus. Physique, Volume 14 (2013) no. 4, pp. 306-317.

Nous passons en revue les progrès récents concernant la simulation des trous noirs en relativité numérique. Après un bref résumé des méthodes employées, nous donnons les résultats clés dans deux domaines majeurs de la physique des trous noirs : (i) les trous noirs comme sources dʼondes gravitationnelles et (ii) les systèmes astrophysiques contenant des trous noirs. Nous concluons sur la liste des travaux les plus urgents à conduire dans ces domaines.

We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in two major areas of BH physics: (i) BHs as sources of gravitational waves (GWs) and (ii) astrophysical systems involving BHs. We conclude with a list of the most urgent tasks for numerical relativity in these areas.

Publié le :
DOI : 10.1016/j.crhy.2013.01.004
Keywords: Numerical relativity, Black holes, Gravitational wave physics, Astrophysics
Mots clés : Relativité numérique, Trous noirs, Physique des ondes gravitationnelles, Astrophysique
Ulrich Sperhake 1, 2, 3, 4, 5 ; Emanuele Berti 2, 4 ; Vitor Cardoso 3, 4

1 Institute of Space Sciences (CSIC–IEEC), Campus UAB, Torre C5 parells, 08193 Bellaterra, Spain
2 California Institute of Technology, 1200 E California Boulevard, Pasadena, CA 91125, USA
3 CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa – UTL, Av. Rovisco Pais 1, 1049 Lisboa, Portugal
4 Department of Physics and Astronomy, The University of Mississippi, University, MS 38677, USA
5 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK
@article{CRPHYS_2013__14_4_306_0,
     author = {Ulrich Sperhake and Emanuele Berti and Vitor Cardoso},
     title = {Numerical simulations of black-hole binaries and gravitational wave emission},
     journal = {Comptes Rendus. Physique},
     pages = {306--317},
     publisher = {Elsevier},
     volume = {14},
     number = {4},
     year = {2013},
     doi = {10.1016/j.crhy.2013.01.004},
     language = {en},
}
TY  - JOUR
AU  - Ulrich Sperhake
AU  - Emanuele Berti
AU  - Vitor Cardoso
TI  - Numerical simulations of black-hole binaries and gravitational wave emission
JO  - Comptes Rendus. Physique
PY  - 2013
SP  - 306
EP  - 317
VL  - 14
IS  - 4
PB  - Elsevier
DO  - 10.1016/j.crhy.2013.01.004
LA  - en
ID  - CRPHYS_2013__14_4_306_0
ER  - 
%0 Journal Article
%A Ulrich Sperhake
%A Emanuele Berti
%A Vitor Cardoso
%T Numerical simulations of black-hole binaries and gravitational wave emission
%J Comptes Rendus. Physique
%D 2013
%P 306-317
%V 14
%N 4
%I Elsevier
%R 10.1016/j.crhy.2013.01.004
%G en
%F CRPHYS_2013__14_4_306_0
Ulrich Sperhake; Emanuele Berti; Vitor Cardoso. Numerical simulations of black-hole binaries and gravitational wave emission. Comptes Rendus. Physique, Volume 14 (2013) no. 4, pp. 306-317. doi : 10.1016/j.crhy.2013.01.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.01.004/

[1] R. Giacconi et al. Phys. Rev. Lett., 9 (1963), pp. 439-443

[2] I.S. Shklovsky Astrophys. J., 148 (1967), p. L1-L4

[3] J. van Paradijs American Astronomical Society Meeting Abstracts, Bulletin of the American Astronomical Society, vol. 30, 1998, p. 1291

[4] T.A. Matthews; A.R. Sandage Astrophys. J., 138 (1963), p. 30

[5] M. Schmidt Nature, 197 (1963), p. 1040

[6] E.E. Salpeter Astrophys. J., 140 (1964), pp. 796-800

[7] Y.B. Zelʼdovich; I.D. Novikov Dokl. Akad. Nauk SSSR, 155 (1964), p. 57

[8] M.J. Rees Phys. Scr., 17 (1978), pp. 193-200

[9] F. Melia | arXiv

[10] http://www.ligo.org (LIGO website)

[11] https://wwwcascina.virgo.infn.it/ (VIRGO website)

[12] http://www.geo600.org/ (GEO600 website)

[13] http://www.esa.int/esaSC/120376_index_0_m.html (ESA-LISA website)

[14] L.S. Finn Phys. Rev. D, 46 (1992), pp. 5236-5249

[15] J. Abadie et al. Class. Quantum Grav., 27 (2010), p. 173001

[16] T. Bulik; K. Belczynski; A. Prestwich Astrophys. J., 730 (2011), p. 140

[17] M. Volonteri; F. Haardt; P. Madau Astrophys. J., 582 (2003), pp. 559-573

[18] M.C. Begelman; M. Volonteri; M.J. Rees Mon. Not. R. Astron. Soc., 370 (2006), pp. 289-298

[19] A. Sesana; M. Volonteri; F. Haardt Mon. Not. R. Astron. Soc., 377 (2007), pp. 1711-1716

[20] K.G. Arun et al. | arXiv

[21] L. Blanchet Living Rev. Relativ., 9 (2006) http://www.livingreviews.org/lrr-2006-4 (4)

[22] S.A. Teukolsky Astrophys. J., 185 (1973), pp. 635-648

[23] E.W. Leaver Phys. Rev. D, 34 (1986), pp. 384-408

[24] E. Berti; V. Cardoso; A.O. Starinets Class. Quantum Grav., 26 (2009), p. 163001

[25] F. Pretorius Phys. Rev. Lett., 95 (2005), p. 121101

[26] M. Campanelli et al. Phys. Rev. Lett., 96 (2006), p. 111101

[27] J.G. Baker et al. Phys. Rev. Lett., 96 (2006), p. 111102

[28] R. Arnowitt; S. Deser; C.W. Misner Gravitation: An Introduction to Current Research (L. Witten, ed.), John Wiley, New York, 1962, pp. 227-265

[29] J.W. York Sources of Gravitational Radiation (L. Smarr, ed.), Cambridge University Press, Cambridge, 1979, pp. 83-126

[30] M. Alcubierre Introduction to 3+1 Numerical Relativity, Oxford University Press, Oxford, 2008

[31] M. Shibata; T. Nakamura Phys. Rev. D, 52 (1995), pp. 5428-5444

[32] T.W. Baumgarte; S.L. Shapiro Phys. Rev. D, 59 (1998), p. 024007

[33] M. Alcubierre et al. Phys. Rev. D, 67 (2003), p. 084023

[34] J.R. van Meter et al. Phys. Rev. D, 73 (2006), p. 124011

[35] D. Müller; J. Grigsby; B. Brügmann Phys. Rev. D, 82 (2010), p. 064004

[36] D. Alic et al. Class. Quantum Grav., 27 (2010), p. 245023

[37] Y. Fourés-Bruhat Acta Math., 88 (1952), pp. 141-225

[38] Y. Bruhat Gravitation: An Introduction to Current Research (L. Witten, ed.), John Wiley, New York, 1962, pp. 130-168

[39] A.E. Fischer; J.E. Marsden Commun. Math. Phys., 28 (1972), pp. 1-38

[40] H. Friedrich Commun. Math. Phys., 100 (1985), p. 525

[41] D. Garfinkle Phys. Rev. D, 65 (2002), p. 044029

[42] C. Gundlach et al. Class. Quantum Grav., 22 (2005), pp. 3767-3773

[43] M.A. Scheel et al. Phys. Rev. D, 74 (2006), p. 104006

[44] M. Boyle et al. Phys. Rev. D, 76 (2007), p. 124038

[45] L. Lindblom et al. Class. Quantum Grav., 23 (2006), p. S447-S462

[46] M. Boyle et al. Phys. Rev. D, 78 (2008), p. 104020

[47] T. Chu et al. Phys. Rev. D, 80 (2009), p. 124051

[48] G.B. Cook Living Rev. Relativ., 3 (2000) http://www.livingreviews.org/lrr-2000-5 (5)

[49] A. Lichnerowicz J. Math. Pures Appl., 23 (1944), pp. 37-63

[50] C.W. Misner Phys. Rev., 118 (1960), p. 1110

[51] D.R. Brill; R.W. Lindquist Phys. Rev., 131 (1963), pp. 471-476

[52] J.M. Bowen; J.W. York Phys. Rev. D, 21 (1980), pp. 2047-2056

[53] S. Brandt; B. Brügmann Phys. Rev. Lett., 78 (1997), pp. 3606-3609

[54] G.B. Cook; H. Pfeiffer Phys. Rev. D, 70 (2004), p. 104016

[55] S. Dain; J.L. Jaramillo; B. Krishnan Phys. Rev. D, 71 (2004), p. 064003

[56] A. Ashtekar; B. Krishnan Living Rev. Relativ., 7 (2004) http://www.livingreviews.org/lrr-2004-10 (10)

[57] A. Buonanno; G.B. Cook; F. Pretorius Phys. Rev. D, 75 (2007), p. 124018

[58] E. Gourgoulhon | arXiv

[59] T.W. Baumgarte et al. Phys. Rev. D, 54 (1996), p. 4849

[60] P. Anninos et al. Phys. Rev. D, 58 (1998), p. 024003

[61] J. Thornburg Class. Quantum Grav., 21 (2004), pp. 743-766

[62] B. Krishnan Class. Quantum Grav., 25 (2008), p. 114005

[63] E.T. Newman; R. Penrose J. Math. Phys., 3 (1962), pp. 566-578

[64] W. Kinnersley J. Math. Phys., 10 (1969), pp. 1195-1203

[65] B. Brügmann et al. Phys. Rev. D, 77 (2008), p. 024027

[66] T. Regge; J.A. Wheeler Phys. Rev., 108 (1957), pp. 1063-1069

[67] F.J. Zerilli J. Math. Phys., 11 (1970), pp. 2203-2208

[68] F.J. Zerilli Phys. Rev. Lett., 24 (1970), pp. 737-738

[69] C. Reisswig et al. Phys. Rev. D, 83 (2011), p. 064008

[70] A. Buonanno; Y. Chen; M. Vallisneri; A. Buonanno; Y. Chen; M. Vallisneri Phys. Rev. D, 67 (2003), p. 024016 (Erratum)

[71] C.O. Lousto et al. Phys. Rev. D, 82 (2010), p. 104057

[72] C.O. Lousto; Y. Zlochower Phys. Rev. Lett., 106 (2011), p. 041101

[73] P. Marronetti et al. Phys. Rev. D, 77 (2008), p. 064010

[74] S. Dain; C.O. Lousto; Y. Zlochower Phys. Rev. D, 78 (2008), p. 024039

[75] G. Lovelace et al. Phys. Rev. D, 78 (2008), p. 084017

[76] M.D. Hannam et al. Class. Quantum Grav., 24 (2007), p. S15-S24

[77] Y.T. Liu; Z.B. Etienne; S.L. Shapiro Phys. Rev. D, 80 (2009), p. 121503

[78] G. Lovelace; M.A. Scheel; B. Szilagyi Phys. Rev. D, 83 (2011), p. 024010

[79] P.C. Peters; J. Mathews Phys. Rev., 131 (1963), pp. 435-439

[80] U. Sperhake et al. Class. Quantum Grav., 28 (2011), p. 134004

[81] M.A. Scheel et al. Phys. Rev. D, 79 (2009), p. 024003

[82] E. Berti et al. Phys. Rev. D, 76 (2007), p. 064034

[83] J.A. González; U. Sperhake; B. Brügmann Phys. Rev. D, 79 (2009), p. 124006

[84] J.G. Baker et al. Phys. Rev. D, 78 (2008), p. 044046

[85] M. Campanelli; C.O. Lousto; Y. Zlochower Phys. Rev. D, 74 (2006), p. 041501

[86] I. Hinder et al. Phys. Rev. D, 82 (2010), p. 024033

[87] L.E. Kidder Phys. Rev. D, 52 (1995), pp. 821-847

[88] R.P. Kerr Phys. Rev. Lett., 11 (1963), pp. 237-238

[89] E.W. Leaver Proc. R. Soc. Lond. A, 402 (1985), pp. 285-298

[90] O. Dreyer et al. Class. Quantum Grav., 21 (2004), pp. 787-804

[91] E. Berti; V. Cardoso; C.M. Will Phys. Rev. D, 73 (2006), p. 064030

[92] E. Berti et al. Phys. Rev. D, 76 (2007), p. 104044

[93] E. Berti; V. Cardoso Phys. Rev. D, 74 (2006), p. 104020

[94] D. Keppel; P. Ajith Phys. Rev. D, 82 (2010), p. 122001

[95] M. Salgado et al. Phys. Rev. D, 77 (2008), p. 104010

[96] V. Paschalidis et al. Class. Quantum Grav., 28 (2011), p. 085006

[97] A. Buonanno; T. Damour Phys. Rev. D, 59 (1999), p. 084006

[98] A. Buonanno; T. Damour Phys. Rev. D, 62 (2000), p. 064015

[99] Y. Pan et al. | arXiv

[100] A. Buonanno; L.E. Kidder; L. Lehner Phys. Rev. D, 77 (2008), p. 026004

[101] T. Damour et al. Phys. Rev. D, 77 (2008), p. 084017

[102] T. Damour et al. Phys. Rev. D, 78 (2008), p. 044039

[103] Y. Pan et al. Phys. Rev. D, 81 (2010), p. 084041

[104] P. Ajith et al. Class. Quantum Grav., 24 (2007), p. S689-S700

[105] P. Ajith et al. Phys. Rev. D, 77 (2008), p. 104017

[106] P. Ajith Class. Quantum Grav., 25 (2008), p. 114033

[107] P. Ajith et al. | arXiv

[108] L. Santamaria et al. Phys. Rev. D, 82 (2010), p. 064016

[109] J. Abadie et al. | arXiv

[110] Ninja homepage https://www.ninja-project.org/doku.php

[111] B. Aylott et al. Class. Quantum Grav., 26 (2009), p. 165008

[112] B. Aylott et al. Class. Quantum Grav., 26 (2009), p. 114008

[113] https://www.ninja-project.org/doku.php?id=nrar:home (NRAR homepage)

[114] R.N. Lang; S.A. Hughes; N.J. Cornish | arXiv

[115] S.T. McWilliams et al. | arXiv

[116] M. Boyle; A.H. Mroué Phys. Rev. D, 80 (2009), p. 124045

[117] L.S. Finn; D.F. Chernoff Phys. Rev. D, 47 (1993), pp. 2198-2219

[118] C. Cutler; E.E. Flanagan Phys. Rev. D, 49 (1994), pp. 2658-2697

[119] https://dcc.ligo.org/cgi-bin/DocDB/ShowDocument?docid=2974 (LIGO Document T0900288-v3)

[120] L. Lindblom; J.G. Baker; B.J. Owen Phys. Rev. D, 82 (2010), p. 084020

[121] I. MacDonald; S. Nissanke; H.P. Pfeiffer Class. Quantum Grav., 28 (2011), p. 134002

[122] T. Damour; M. Trias; A. Nagar Phys. Rev. D, 83 (2011), p. 024006

[123] M. Hannam et al. Phys. Rev. D, 79 (2009), p. 084025

[124] M. Hannam et al. Phys. Rev. D, 82 (2010), p. 124008

[125] M. Boyle | arXiv

[126] R.A. Remillard; J.E. McClintock Ann. Rev. Astron. Astrophys., 44 (2006), pp. 49-92

[127] M.C. Miller; E.J.M. Colbert Int. J. Mod. Phys. D, 13 (2004), pp. 1-64

[128] J.R. Hurley Mon. Not. R. Astron. Soc., 379 (2007), pp. 93-99

[129] C.T. Berghea et al. | arXiv

[130] J.E. McClintock et al. Class. Quantum Grav., 28 (2011), p. 114009

[131] G. Miniutti et al. | arXiv

[132] S. Schmoll et al. Astrophys. J., 703 (2009), pp. 2171-2176

[133] L.C. Gallo et al. | arXiv

[134] A.C. Fabian et al. Mon. Not. R. Astron. Soc., 361 (2005), pp. 795-802

[135] L.W. Brenneman; C.S. Reynolds Astrophys. J., 652 (2006), pp. 1028-1043

[136] A. Fabian et al. | arXiv

[137] L.W. Brenneman et al. | arXiv

[138] C.F. Gammie; S.L. Shapiro; J.C. McKinney Astrophys. J., 602 (2004), pp. 312-319

[139] S.A. Hughes; R.D. Blandford Astrophys. J., 585 (2003), p. L101-L104

[140] E. Berti; M. Volonteri Astrophys. J., 684 (2008), p. 822

[141] I. Mandel; V. Kalogera; R. OʼShaughnessy | arXiv

[142] A. Sesana et al. Phys. Rev. D, 83 (2011), p. 044036

[143] K. Belczynski et al. Astrophys. J., 682 (2008), pp. 474-486

[144] J.R. Herrnstein et al. Nature, 400 (1999), pp. 539-541

[145] J. Kormendy; D. Richstone Ann. Rev. Astron. Astrophys., 33 (1995), pp. 581-624

[146] K. Gebhardt et al. Astrophys. J., 543 (2000), p. L5

[147] A.W. Graham Publ. Astron. Soc. Aust., 25 (2008), pp. 167-175

[148] A.W. Graham et al. | arXiv

[149] S.M. Koushiappas; A.R. Zentner Astrophys. J., 639 (2006), p. 7

[150] L.A. Gergely; B. Mikoczi Phys. Rev. D, 79 (2009), p. 064023

[151] M. Campanelli et al. Phys. Rev. D, 75 (2007), p. 064030

[152] L. Rezzolla et al. Astrophys. J., 679 (2008), p. 1422

[153] L. Rezzolla et al. Astrophys. J., 674 (2008), p. L29-L32

[154] L. Rezzolla et al. Phys. Rev. D, 78 (2008), p. 044002

[155] J.D. Schnittman Phys. Rev. D, 70 (2004), p. 124020

[156] W. Tichy; P. Marronetti Phys. Rev. D, 78 (2008), p. 081501

[157] E. Barausse; L. Rezzolla Astrophys. J., 704 (2009), p. L40-L44

[158] C.O. Lousto; M. Campanelli; Y. Zlochower Class. Quantum Grav., 27 (2010), p. 114006

[159] C.O. Lousto et al. Phys. Rev. D, 81 (2010), p. 084023

[160] M. Kesden; U. Sperhake; E. Berti Phys. Rev. D, 81 (2010), p. 084054

[161] L. Rezzolla Class. Quantum Grav., 26 (2009), p. 094023

[162] M. Campanelli et al. Astrophys. J., 659 (2007), p. L5-L8

[163] D. Merritt; R.D. Ekers Science, 297 (2002), pp. 1310-1313

[164] W.B. Bonnor; M.A. Rotenberg Proc. R. Soc. Lond. A, 265 (1961), pp. 109-116

[165] A. Peres Phys. Rev., 128 (1962), pp. 2471-2475

[166] F. Herrmann et al. Class. Quantum Grav., 24 (2007), p. S33-S42

[167] J.G. Baker et al. Astrophys. J., 653 (2006), p. L93-L96

[168] J.A. González et al. Phys. Rev. Lett., 98 (2007), p. 091101

[169] F. Herrmann et al. Astrophys. J., 661 (2007), p. 430

[170] M. Koppitz et al. Phys. Rev. Lett., 99 (2007), p. 041102

[171] J.A. González et al. Phys. Rev. Lett., 98 (2007), p. 231101

[172] M. Campanelli et al. Phys. Rev. Lett., 98 (2007), p. 231102

[173] M.C. Begelman; R.D. Blandford; M.J. Rees Nature, 287 (1980), pp. 307-309

[174] D. Merritt et al. Astrophys. J., 607 (2004), p. L9-L12

[175] Z. Haiman Astrophys. J., 613 (2004), pp. 36-40

[176] Y. Li et al. Astrophys. J., 665 (2007), pp. 187-208

[177] M. Volonteri; K. Gültekin; M. Dotti Mon. Not. R. Astron. Soc., 404 (2010), pp. 2143-2150

[178] S. Komossa; H. Zhou; H. Lu Astrophys. J., 678 (2008), p. L81

[179] F. Civano et al. Astrophys. J., 717 (2010), pp. 209-222

[180] A. Robinson et al. Astrophys. J., 717 (2010), p. L122-L126

[181] W. Tichy; P. Marronetti Phys. Rev. D, 76 (2007), p. 061502(R)

[182] J.G. Baker et al. Astrophys. J., 668 (2008), pp. 1140-1144

[183] B. Brügmann et al. Phys. Rev. D, 77 (2008), p. 124047

[184] C.O. Lousto; Y. Zlochower Phys. Rev. D, 77 (2008), p. 044028

[185] D. Pollney et al. Phys. Rev. D, 76 (2007), p. 124002

[186] J.G. Baker et al. Astrophys. J., 682 (2008), p. L29

[187] C.O. Lousto; Y. Zlochower Phys. Rev. D, 79 (2009), p. 064018

[188] C.O. Lousto; Y. Zlochower Phys. Rev. D, 83 (2010), p. 024003

[189] Y. Zlochower; M. Campanelli; C.O. Lousto | arXiv

[190] J.R. van Meter et al. | arXiv

[191] T. Bogdanović; C.S. Reynolds; M.C. Miller Astrophys. J., 661 (2007), p. L147-L150

[192] M. Kesden; U. Sperhake; E. Berti Astrophys. J., 715 (2010), pp. 1006-1011

[193] M. Megevand et al. Phys. Rev. D, 80 (2009), p. 024012

[194] M. Anderson et al. Phys. Rev. D, 81 (2010), p. 044004

[195] T. Bode et al. Astrophys. J., 715 (2010), pp. 1117-1131

[196] T. Bogdanovic et al. Class. Quantum Grav., 28 (2011), p. 094020

[197] T. Bode et al. | arXiv

[198] B.D. Farris; Y.T. Liu; S.L. Shapiro Phys. Rev. D, 81 (2010), p. 084008

[199] P. Mösta et al. Phys. Rev. D, 81 (2010), p. 064017

[200] C. Palenzuela et al. Phys. Rev. Lett., 103 (2009), p. 081101

[201] C. Palenzuela; L. Lehner; S. Yoshida Phys. Rev. D, 81 (2010), p. 084007

[202] C. Palenzuela; L. Lehner; S.L. Liebling Science, 329 (2010), p. 927

[203] C. Palenzuela et al. Phys. Rev. D, 82 (2010), p. 044045

[204] L. Boyle; M. Kesden; S. Nissanke Phys. Rev. Lett., 100 (2008), p. 151101

[205] L. Boyle; M. Kesden Phys. Rev. D, 78 (2008), p. 024017

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Searching for gravitational waves with the LIGO and Virgo interferometers

Marie-Anne Bizouard; Maria Alessandra Papa

C. R. Phys (2013)


Gravitational waves and astrophysical sources

B.S. Sathyaprakash

C. R. Phys (2013)


Numerical simulations of GRB engines

Jérôme Novak

C. R. Phys (2011)