The initial singularity of ultrastiff perfect fluid spacetimes without symmetries

Abstract

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.

16 pages, journal version

References in corpus (3)

• Analytic description of singularities in Gowdy spacetimes
• Anisotropic Pressures at Ultra-stiff Singularities and the Stability of Cyclic Universes
• Perfect fluids and generic spacelike singularities

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