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Article Dans Une Revue Journal of Mathematical Physics Année : 1999

Asymptotic behavior in polarized $\mathbb T^2$-symmetric spacetimes

Résumé

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 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 AVTD (``asymptotically velocity-term dominated'') as one approaches the singularity.

Dates et versions

hal-00002597 , version 1 (19-08-2004)

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James Isenberg, Satyanad Kichenassamy. Asymptotic behavior in polarized $\mathbb T^2$-symmetric spacetimes. Journal of Mathematical Physics, 1999, 40, pp.340-352. ⟨10.1063/1.532775⟩. ⟨hal-00002597⟩
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