Isotropic singularities in shear-free perfect fluid cosmologies

Details Isotropic singularities in shear-free perfect fluid cosmologies Isotropic singularities in shear-free perfect fluid cosmologies

2001-08-02

arxiv.org/abs/gr-qc/0108005v1

Gen.Rel.Grav. 32 (2000) 425-443

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 1 figure

Scientific paper

We investigate barotropic perfect fluid cosmologies which admit an isotropic singularity. From the General Vorticity Result of Scott, it is known that these cosmologies must be irrotational. In this paper we prove, using two different methods, that if we make the additional assumption that the perfect fluid is shear-free, then the fluid flow must be geodesic. This then implies that the only shear-free, barotropic, perfect fluid cosmologies which admit an isotropic singularity are the FRW models.

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