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

How to cite

top

Banach, 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. [1] P.J.E. Peebles, Principles of physical cosmology, Princeton, Princeton University Press, 1993. MR1216520
  2. [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. [3] S.W. Hawking, Perturbations of an expanding universe, Astrophys. J., Vol. 145, 1966, pp. 544-554. 
  4. [4] P.J.E. Peebles, The large-scale structure of the universe, Princeton, Princeton University Press, 1980. MR647948
  5. [5] J.M. Bardeen, Gauge-invariant cosmological perturbations, Phys. Rev. D, Vol. 22, 1980, pp. 1882-1905. MR590395
  6. [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. [7] V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, Phys. Rep., Vol. 215, 1992, pp. 203-333. MR1174019
  8. [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. [9] S.W. Hawking and G.F.R. Ellis, The large-scale structure of space-time, Cambridge, Cambridge University Press, 1973. Zbl0265.53054MR424186
  10. [10] R. Wald, General relativity, Chicago, University of Chicago, 1984. Zbl0549.53001MR757180
  11. [11] P. D'Eath, On the existence of perturbed Roberston-Walker universes, Ann. Phys. (NY), Vol. 98, 1976, pp. 237-263. Zbl0334.53036MR416457
  12. [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. [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. [14] J.L. Synge, The relativistic gas, Amsterdam, North-Holland, 1957. Zbl0077.41706MR88362
  15. [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. [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. [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. [18] J.M. Stewart, Perturbations of Friedmann-Robertson-Walker cosmological models, Class. Quantum Grav., Vol. 7, 1990, pp. 1169-1180. Zbl0703.53068MR1058337
  19. [19] J. Ehlers, Contributions to the relativistic mechanics of continuous media, Gen. Rel. Grav., Vol. 25, 1993, pp. 1225-1266. Zbl0792.53070MR1247350
  20. [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. [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. [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. [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. [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. [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. [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. [27] J.A. Schouten, Ricci-calculus: An introduction to tensor analysis and its geometrical applications, Berlin, Springer-Verlag, 1954. Zbl0057.37803MR66025
  28. [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. [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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.