Self-Consistent Homogeneous Isotropic Cosmological Models. I. Generalities

Details Self-Consistent Homogeneous Isotropic Cosmological Models. I. Generalities Self-Consistent Homogeneous Isotropic Cosmological Models. I. Generalities

Sep 1968

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1968phrv..173.1235h&link_type=abstract

Physical Review, vol. 173, Issue 5, pp. 1235-1242

Physics

15

Scientific paper

Self-consistent models of uniform universes are provided by coupling Einstein's equations to the one-particle Liouville equation. Correlations between the "particles" of the cosmic gas are thus neglected. As a consequence, an equation of state is not needed in the theory but is, rather, provided from these statistical considerations. It is shown that an expanding self-consistent uniform universe behaves asymptotically as the relativistic polytrope p~μ53, and finally, as an expanding Friedmann universe. Near the possible singularity R=0 (R=scale factor), self-consistent models are hot models. Friedmann models are shown to be a particular case of self-consistent models.

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