Asymptotic Behavior in Polarized {\bf T}${}^2$-symmetric Vacuum Spacetimes

Abstract

We use Fuchsian Reduction to study the behavior near the singularity of a class of solutions of Einstein's vacuum equations. These solutions admit two commuting spacelike Killing fields like the Gowdy spacetimes, but their twist does not vanish. The spacetimes are also polarized in the sense that one of the `gravitational degrees of freedom' is turned off. Examining an analytic family of solutions with the maximum number of arbitrary functions, we find that they are all asymptotically velocity-term dominated as one approaches the singularity.

References in corpus (1)

• Analytic description of singularities in Gowdy spacetimes

Cited by in corpus (6)

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• Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes
• Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant