Asymptotic Behavior of the $T^3 \times R$ Gowdy Spacetimes

Details Asymptotic Behavior of the $T^3 \times R$ Gowdy Spacetimes Asymptotic Behavior of the $T^3 \times R$ Gowdy Spacetimes

1992-09-16

arxiv.org/abs/gr-qc/9209006v1

Phys.Rev. D47 (1993) 2371-2382

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages

Scientific paper

10.1103/PhysRevD.47.2371

We present new evidence in support of the Penrose's strong cosmic censorship conjecture in the class of Gowdy spacetimes with $T^3$ spatial topology. Solving Einstein's equations perturbatively to all orders we show that asymptotically close to the boundary of the maximal Cauchy development the dominant term in the expansion gives rise to curvature singularity for almost all initial data. The dominant term, which we call the ``geodesic loop solution'', is a solution of the Einstein's equations with all space derivatives dropped. We also describe the extent to which our perturbative results can be rigorously justified.

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