Analytic description of singularities in Gowdy spacetimes

Preprint

1 October 2017

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1709.09710

Abstract

We use Fuchsian Reduction to construct singular solutions of Einstein's equations which belong to the class of Gowdy spacetimes. The solutions have the maximum number of arbitrary functions. Special cases correspond to polarized, or other known solutions. The method provides precise asymptotics at the singularity, which is Kasner-like. All of these solutions are asymptotically velocity-dominated. The results account for the fact that solutions with velocity parameter uniformly greater than one are not observed numerically. They also provide a justification of formal expansions proposed by Grubi\v{s}i\'c and Moncrief.

Keywords

All Related Versions

Version 1, 2017-09-27, ArXiv
Version 2, 2017-10-01, ArXiv
Published version: Classical and Quantum Gravity, 15 (5), 1339.

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