×

Evolution of high-frequency gravitational waves in some cosmological models. (English) Zbl 1120.83012

Summary: We investigate Isaacson’s high-frequency gravitational waves which propagate in some relevant cosmological models, in particular the FRW spacetimes. Their time evolution in Fourier space is explicitly obtained for various metric forms of (anti-)de Sitter universe. Behaviour of high-frequency waves in the anisotropic Kasner spacetime is also described.

MSC:

83C35 Gravitational waves
83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory

References:

[1] J.M. Bardeen: Phys. Rev. D22 (1980) 1882. · doi:10.1103/PhysRevD.22.1882
[2] G.F.R. Ellis and M. Bruni: Phys. Rev. D40 (1989) 1804. · doi:10.1103/PhysRevD.40.1804
[3] E.M. O’Shea: Phys. Rev. D69 (2004) 064038. · doi:10.1103/PhysRevD.69.064038
[4] J. Katz, J. Bičák, and D. Lynden-Bell: Phys. Rev. D55 (1997) 5957. · doi:10.1103/PhysRevD.55.5957
[5] J.E. Lidsey et al.: Rev. Mod. Phys.69 (1997) 373. · doi:10.1103/RevModPhys.69.373
[6] A. Melchiorri and C. Ödman: Phys. Rev. D67 (2003) 021501(R). · doi:10.1103/PhysRevD.67.021501
[7] S. Mollerach, D. Harari, and S. Matarrese: Phys. Rev. D69 (2004) 063002. · doi:10.1103/PhysRevD.69.063002
[8] K. Tomita: Phys. Rev. D71 (2005) 083504. · doi:10.1103/PhysRevD.71.083504
[9] M. Maggiore: Phys. Rep.331 (2000) 283. · doi:10.1016/S0370-1573(99)00102-7
[10] Y. Zhang, Y. Yuan, W. Zhao, and Y.T. Chen: Class. Quantum Grav.22 (2005) 1383. · Zbl 1064.83079 · doi:10.1088/0264-9381/22/7/011
[11] R.A. Isaacson: Phys. Rev.166 (1968) 1263. · doi:10.1103/PhysRev.166.1263
[12] M.A.H. MacCallum and A.H. Taub: Commun. Math. Phys.30 (1973) 153. · doi:10.1007/BF01645977
[13] J. Podolský and O. Svítek: Gen. Rel. Grav.36 (2004) 387. · Zbl 1040.83013 · doi:10.1023/B:GERG.0000010483.02257.90
[14] Y. Choquet-Bruhat: Commun. Math. Phys.12 (1968) 16. · Zbl 0188.42301 · doi:10.1007/BF01646432
[15] A.H. Taub: Commun. Math. Phys.47 (1976) 185. · Zbl 0322.53020 · doi:10.1007/BF01608376
[16] P.A. Hogan and T. Futamase: J. Math. Phys.34 (1993) 154. · Zbl 0767.35097 · doi:10.1063/1.530397
[17] P.D. D’Eath: Ann. Phys.98 (1976) 237. · Zbl 0334.53036 · doi:10.1016/0003-4916(76)90246-3
[18] H. Stephani, D. Kramer, M.A.H. MacCallum, C. Hoenselaers, and E. Herlt:Exact Solutions of the Einstein’s Field Equations, 2nd ed, Cambridge University Press, Cambridge, 2002. · Zbl 1179.83005
[19] E. Eriksen and Ø. Grøn: Int. J. Mod. Phys. D4 (1995) 115. · doi:10.1142/S0218271895000090
[20] J. Podolský:Gravitational radiation in cosmology, Diploma Thesis, Charles University in Prague, 1987 (in Czech).
[21] L. Defrise:Groupes d’isotropie et groupes de stabilité conforme dans les escapes lorentziens, Thése Université Libre de Bruxelles, 1969.
[22] J. Podolský: Gen. Rel. Grav.33 (2001) 1093. · Zbl 0992.83094 · doi:10.1023/A:1010284400184
[23] I. Brevik and S. V. Pettersen: Phys. Rev. D61 (2000) 127305. · doi:10.1103/PhysRevD.61.127305
[24] M. Cataldo and S. del Campo: Phys. Rev. D61 (2000) 128301. · doi:10.1103/PhysRevD.61.128301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.