An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids
Zbigniew Banach; Sławomir Piekarski
Annales de l'I.H.P. Physique théorique (1996)
- Volume: 65, Issue: 3, page 273-309
- ISSN: 0246-0211
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topBanach, Zbigniew, and Piekarski, Sławomir. "An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids." Annales de l'I.H.P. Physique théorique 65.3 (1996): 273-309. <http://eudml.org/doc/76743>.
@article{Banach1996,
author = {Banach, Zbigniew, Piekarski, Sławomir},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Robertson-Walker universe; perturbations},
language = {eng},
number = {3},
pages = {273-309},
publisher = {Gauthier-Villars},
title = {An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids},
url = {http://eudml.org/doc/76743},
volume = {65},
year = {1996},
}
TY - JOUR
AU - Banach, Zbigniew
AU - Piekarski, Sławomir
TI - An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 65
IS - 3
SP - 273
EP - 309
LA - eng
KW - Robertson-Walker universe; perturbations
UR - http://eudml.org/doc/76743
ER -
References
top- [1] P.J.E. Peebles, Principles of physical cosmology, Princeton, Princeton University Press, 1993. MR1216520
- [2] E.M. Lifshitz and I.M. Khalatnikov, Investigations in relativistic cosmology, Adv. in Phys. (Phil. Mag. Suppl.), Vol. 12, 1963, pp. 185-249. Zbl0112.44306MR154735
- [3] S.W. Hawking, Perturbations of an expanding universe, Astrophys. J., Vol. 145, 1966, pp. 544-554.
- [4] P.J.E. Peebles, The large-scale structure of the universe, Princeton, Princeton University Press, 1980. MR647948
- [5] J.M. Bardeen, Gauge-invariant cosmological perturbations, Phys. Rev. D, Vol. 22, 1980, pp. 1882-1905. MR590395
- [6] G.F.R. Ellis and M. Bruni, Covariant and gauge-invariant approach to cosmological density fluctuations, Phys. Rev. D, Vol. 40, 1989, pp. 1804-1818. MR1015443
- [7] V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, Phys. Rep., Vol. 215, 1992, pp. 203-333. MR1174019
- [8] J. Ehlers, Survey of general relativity theory, in W. ISRAEL Ed., Relativity, Astrophysics, and Cosmology, Vol. 38, Boston, Redeil, 1973, pp. 1-125.
- [9] S.W. Hawking and G.F.R. Ellis, The large-scale structure of space-time, Cambridge, Cambridge University Press, 1973. Zbl0265.53054MR424186
- [10] R. Wald, General relativity, Chicago, University of Chicago, 1984. Zbl0549.53001MR757180
- [11] P. D'Eath, On the existence of perturbed Roberston-Walker universes, Ann. Phys. (NY), Vol. 98, 1976, pp. 237-263. Zbl0334.53036MR416457
- [12] Z. Banach and S. Piekarski, Perturbation theory based on the Einstein-Boltzmann system. I. Illustration of the theory for a Robertson-Walker geometry, J. Math. Phys., Vol. 35, 1994, pp. 4809-4831. Zbl0817.53050MR1290903
- [13] Z. Banach and S. Piekarski, Perturbation theory based on the Einstein-Boltzmann system. II. Illustration of the theory for an almost-Robertson-Walker geometry, J. Math. Phys., Vol. 35, 1994, pp. 5885-5907. Zbl0817.53051MR1299926
- [14] J.L. Synge, The relativistic gas, Amsterdam, North-Holland, 1957. Zbl0077.41706MR88362
- [15] Z. Banach and S. Piekarski, Two linearization procedures for the Boltzmann equation in a k = 0 Robertson-Walker space-time, J. Stat. Phys., Vol. 76, 1994, pp. 1415-1437. Zbl0837.53063MR1298109
- [16] Z. Banach and H. Makaruk, Relaxation-time approximation for a Boltzmann gas in Robertson-Walker universe models, Int. J. Theor. Phys., Vol. 34, 1995, pp. 761-777. Zbl0828.53082MR1332204
- [17] Y. Choquet-Bruhat, C. Dewitt-Morette and M. Dillard-Bleick, Analysis, manifolds and physics. Part I: Basics, Amsterdam, North-Holland, 1989. Zbl0385.58001MR685274
- [18] J.M. Stewart, Perturbations of Friedmann-Robertson-Walker cosmological models, Class. Quantum Grav., Vol. 7, 1990, pp. 1169-1180. Zbl0703.53068MR1058337
- [19] J. Ehlers, Contributions to the relativistic mechanics of continuous media, Gen. Rel. Grav., Vol. 25, 1993, pp. 1225-1266. Zbl0792.53070MR1247350
- [20] M. Bruni, P.K. Dunsby and G.F.R. Ellis, Cosmological perturbations and the physical meaning of gauge-invariant variables, Astrophys. J., Vol. 395, 1992, pp. 34-53.
- [21] G.F.R. Ellis, J. Hwang and M. Bruni, Covariant and gauge-independent perfect-fluid Roberston-Walker perturbations, Phys. Rev. D, Vol. 40, 1989, pp. 1819-1826. MR1015444
- [22] J.M. Stewart and M. Walker, Perturbations of spaces-times in general relativity, Proc. R. Soc. Lond. A, Vol. 341, 1974, pp. 49-74. MR421557
- [23] G.F.R. Ellis and D.R. Matravers, General covariance in general relativity?, Gen. Rel. Grav., Vol. 27, 1995, pp. 777-788. Zbl0842.53071MR1344298
- [24] C. Truesdell and R. Toupin, The classical field theories, in S. FLÜGGE Ed., Encyclopedia of Physics, Vol. III/1, Berlin, Springer-Verlag, 1960, pp. 226-793. MR118005
- [25] A. Trautman, Conservation laws in general relativity, in L. WITTEN Ed., Gravitation: An introduction to current research, New York/London, Wiley, 1962. MR143627
- [26] F.A.E. Pirani, Introduction to gravitational radiation theory, in S. DESER and K. W. FORD Eds., Lectures on general relativity, Englewood Cliffs, New Jersey, Prentice-Hall, Inc, 1965, pp. 249-373.
- [27] J.A. Schouten, Ricci-calculus: An introduction to tensor analysis and its geometrical applications, Berlin, Springer-Verlag, 1954. Zbl0057.37803MR66025
- [28] Z. Banach and S. Piekarski, Theory of cosmological perturbations formulated in terms of a complete set of basic gauge-invariant quantities, Int. J. Theor. Phys., Vol. 35, 1996, pp. 633-663. Zbl0849.58083MR1379910
- [29] Z. Banach and S. Piekarski, Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system, Gen. Rel. Grav., in press. Zbl0875.83069
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