The initial singularity of ultrastiff perfect fluid spacetimes without symmetries

Details The initial singularity of ultrastiff perfect fluid spacetimes without symmetries The initial singularity of ultrastiff perfect fluid spacetimes without symmetries

2011-05-09

arxiv.org/abs/1105.1643v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, journal version

Scientific paper

We consider the Einstein equations coupled to an ultrastiff perfect fluid and prove the existence of a family of solutions with an initial singularity whose structure is that of explicit isotropic models. This family of solutions is `generic' in the sense that it depends on as many free functions as a general solution, i.e., without imposing any symmetry assumptions, of the Einstein-Euler equations. The method we use is a that of a Fuchsian reduction.

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