Abstract
A physically reasonable interpretation is provided for the perfect fluid, spherically symmetric, conformally flat "Stephani Universes". The free parameters of this class of exact solutions are determined so that the ideal gas relation p = nk B T is identically fulfilled, while the full equation of state of a classical monatomic ideal gas and a matter-radiation mixture holds up to a good approximation in a near dust, matter dominated regime. Only the models having spacelike slices with positive curvature admit a regular evolution domain that avoids an unphysical singularity. In the matter dominated regime these models are dynamically and observationally indistinguishable from "standard" FLRW cosmology with a dust source.
Similar content being viewed by others
REFERENCES
Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980). Exact Solutions of Einstein' Field Equations (Cambridge University Press, Cambridge, U.K.).
Krasinski, A. (1997). Inhomogeneous Cosmological Models (Cambridge University Press, Cambridge, U.K.).
Bonnor, W. B., and Faulkes, M. C. (1967). MNRAS 137, 239.
Thomson, I. H., and Whitrow, G. J. (1967). MNRAS 136, 207.
Thomson, I. H., and Whitrow, G. J. (1969). MNRAS 139, 499.
Nariai, H., and Tomita, K. (1968). Progr. Theor. Phys. 40, 679.
Bondi, H. (1969). MNRAS (Physics) 142, 333.
Henriksen, R. N., Emslie, A. G., and Wesson, P. S. (1983). Phys. Rev. D 27, 1219.
Ponce de Leon, J. and Wesson, P. S. (1989). Phys. Rev. D 39, 420.
Cook, A. (1975). Austr. J. Phys. 28, 413.
Krasinski, A. (1983). Gen. Rel. Grav. 15, 673.
Sussman, R. A. (1988). J. Math. Phys. 29, 945.
Sussman, R. A. (1988). J. Math. Phys. 29, 1177.
Sussman, R. A. (1989). Phys. Rev. D 40, 1364.
Dabrowski, M. (1993). J. Math. Phys. 34, 1447.
Bona, C., and Coll, B. (1988). Gen. Rel. Grav. 20, 297.
Quevedo, H., and Sussman, R. A. (1995). J. Math. Phys. 36, 1365.
Krasinski, A., Quevedo, H., and Sussman, R. A. (1997). J. Math. Phys. 38, 2602.
Dabrowski, M. (1995). Astrophys. J. 447, 43.
Dabrowski, M., and Hendry, M. (1998). Astrophys. J. 498, 67.
Mansouri, R. (1977). Ann. Inst. H. Poincare 27, 175.
Mashhoon, B., and Partovi, H. (1982). Ann. Phys. NY 4, 137.
de Groot, S. R., van Leeuwen, W. A., and van Weert, Ch. G. (1980). Relativistic Kinetic Theory (North Holland Publishing Co.).
Huang, K. (1978). Statistical Mechanics (J. Wiley and sons).
Sussman, R. A., and Triginer, J. (1998). Class. and Quantum Grav. 15, 1769.
Sussman, R. A., and Pavon, D. (1999). LANL pre-print archive number gr-qc/9907010. Phys. Rev. D 60, 104023.
Ellis, G. F. R., and MacCallum, M. A. H. (1970). Comm. Math. Phys. 19, 31.
Peacock, J. (1999). Cosmological Physics (Cambridge University Press, Cambridge, U.K.).
Kolb, E. W., and Turner, M. S. (1990). The Early Universe (Adison Wesley Publishing Co.).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sussman, R.A. Towards a Physical Interpretation for the Stephani Universes. General Relativity and Gravitation 32, 1527–1557 (2000). https://doi.org/10.1023/A:1001934118532
Issue Date:
DOI: https://doi.org/10.1023/A:1001934118532