This article summarizes recent progress in the development of tools to study the topology of the universe with the cosmic microwave background. The different signatures of the topology and observational constraints are described. The ability of future experiments to reveal the topological structure of our universe is then discussed.
Cet article résume les progrès récents concernant le développement des outils permettant d'étudier la signature topologique de l'univers dans le fond diffus cosmologique. Les différentes signatures de la topologie et les contraintes observationnelles sont décrites. Pour finir, la possibilité de dévoiler la structure topologique de notre univers est discutée.
Mots-clés : Cosmologie, Topologie, Anisotropies du fond de rayonnement cosmique, Univers primordial
Jean-Philippe Uzan 1, 2; Alain Riazuelo 3
@article{CRPHYS_2003__4_8_945_0, author = {Jean-Philippe Uzan and Alain Riazuelo}, title = {Can the {CMB} reveal the topology of the universe?}, journal = {Comptes Rendus. Physique}, pages = {945--951}, publisher = {Elsevier}, volume = {4}, number = {8}, year = {2003}, doi = {10.1016/j.crhy.2003.09.001}, language = {en}, }
Jean-Philippe Uzan; Alain Riazuelo. Can the CMB reveal the topology of the universe?. Comptes Rendus. Physique, the cosmic microwave background, Volume 4 (2003) no. 8, pp. 945-951. doi : 10.1016/j.crhy.2003.09.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2003.09.001/
[1] Phys. Rep., 254 (1995), p. 135
[2] Phys. Rep., 65 (2002), p. 251
[3] Proc. of the XIXth Texas Symposium on Relativistic Astrophysics, 14–18 December (E. Aubourg et al., eds.), 1998 (Paris, article n∘04/25) | arXiv
[4] Sci. Am., L'univers a t'il une forme ?, The Shape of Space, 12 (2001), p. 58
[5] et al. Astrophys J. Suppl., 148 (2003), p. 175
[6] J.-P. Uzan, U. Kirchner, G. Ellis, Mon. Not. R. Astron. Soc., in press
[7] Class. Quant. Grav., 15 (1998), p. 2657
[8] Russ. J. Crystallography and Mineralogy, 21 (1885), p. 1
[9] Three-Dimensional Geometry and Topology (S. Levy, ed.), Princeton Math. Ser., 35, Princeton University Press, Princeton, NJ, 1997
[10] Math. Ann., 104 (1930), p. 1
[11] Class. Quant. Grav., 18 (2001), p. 5155
[12] J.-P. Uzan, A. Riazuelo, R. Lehoucq, J. Weeks, in preparation
[13] Kodai Math. J., 26 (2003), p. 119 | arXiv
[14] Class. Quant. Grav., 19 (2002), p. 4683
[15] A. Riazuelo, J.-P. Uzan, R. Lehoucq, J. Weeks, Phys. Rev. D, in press
[16] arXiv
|[17] Class. Quant. Grav., 20 (2003), p. 1529
[18] Int. J. Mod. Phys. A, 18 (2001), p. 4461
[19] JETP Lett., 57 (1993), p. 622
[20] Phys. Rev. D, 58 (1998), p. 123006
[21] Class. Quant. Grav., 18 (2001), p. 1967
[22] M. Douspis, A. Riazuelo, J.-P. Uzan, R. Lehoucq, J. Weeks, in preparation
[23] J.-P. Luminet, J. Weeks, R. Lehoucq, A. Riazuelo, J.-P. Uzan, Nature (London), in press
Cited by Sources:
Comments - Policy