Asymptotic behavior in polarized T2-symmetric vacuum space-times

Details Asymptotic behavior in polarized T2-symmetric vacuum space-times Asymptotic behavior in polarized T2-symmetric vacuum space-times

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jmp....40..340i&link_type=abstract

Journal of Mathematical Physics, Volume 40, Issue 1, pp. 340-352 (1999).

Mathematics

Mathematical Physics

16

Asymptotic Structure, Spacetime Topology, Causal Structure, Spinor Structure

Scientific paper

We use the Fuchsian algorithm 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 space-times, but their twist does not vanish. The space-times 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.

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