General properties of cosmological models with an Isotropic Singularity

Details General properties of cosmological models with an Isotropic Singularity General properties of cosmological models with an Isotropic Singularity

2003-02-25

arxiv.org/abs/gr-qc/0302098v1

Gen.Rel.Grav. 34 (2002) 1657

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure

Scientific paper

Much of the published work regarding the Isotropic Singularity is performed under the assumption that the matter source for the cosmological model is a barotropic perfect fluid, or even a perfect fluid with a $\gamma$-law equation of state. There are, however, some general properties of cosmological models which admit an Isotropic Singularity, irrespective of the matter source. In particular, we show that the Isotropic Singularity is a point-like singularity and that vacuum space-times cannot admit an Isotropic Singularity. The relationships between the Isotropic Singularity, and the energy conditions, and the Hubble parameter is explored. A review of work by the authors, regarding the Isotropic Singularity, is presented.

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