Quiescent cosmological singularities

Details Quiescent cosmological singularities Quiescent cosmological singularities

2000-01-17

arxiv.org/abs/gr-qc/0001047v1

Commun.Math.Phys. 218 (2001) 479-511

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages

Scientific paper

10.1007/s002200100406

The most detailed existing proposal for the structure of spacetime singularities originates in the work of Belinskii, Khalatnikov and Lifshitz. We show rigorously the correctness of this proposal in the case of analytic solutions of the Einstein equations coupled to a scalar field or stiff fluid. More specifically, we prove the existence of a family of spacetimes depending on the same number of free functions as the general solution which have the asymptotics suggested by the Belinskii-Khalatnikov-Lifshitz proposal near their singularities. In these spacetimes a neighbourhood of the singularity can be covered by a Gaussian coordinate system in which the singularity is simultaneous and the evolution at different spatial points decouples.

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