Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant

Details Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant

2007-04-19

arxiv.org/abs/0704.2506v1

Class.Quant.Grav.24:2415-2432,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages;

Scientific paper

10.1088/0264-9381/24/9/017

We prove well-posedness of the initial value problem for the Einstein equations for spatially-homogeneous cosmologies with data at an isotropic cosmological singularity, for which the matter content is either a cosmological constant with collisionless particles of a single mass (possibly zero) or a cosmological constant with a perfect fluid having the radiation equation of state. In both cases, with a positive cosmological constant, these solutions, except possibly for Bianchi-type-IX, will expand forever, and be geodesically-complete into the future.

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