Asymptotic Behavior in Polarized {\bf T}$^2$-symmetric Vacuum Spacetimes
General Relativity and Quantum Cosmology
2017-09-29 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1709.09715,
title = {Asymptotic Behavior in Polarized {\bf T}$^2$-symmetric Vacuum Spacetimes},
author = {James Isenberg and Satyanad Kichenassamy},
journal= {arXiv preprint arXiv:1709.09715},
year = {2017}
}