Stability of Doubly Warped Product Spacetimes
نویسنده
چکیده
Nonlinear stability for a class of doubly warped spacetimes is proved. The background spacetimes have negative Einstein factors. It shown that for dimension D ≥ 11 there is a full parameter family of solutions to the vacuum Einstein equations which has Kasner-like singularity and Friedmann like asympotics in the future. In particular, these spacetimes have crushing singularity and are globally foliated by constant mean curvature Cauchy hypersurfaces.
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