Abstract
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.
Supported in part by the NSF, with grants DMS-0407732 and DMS-0707306 to the University of Miami.
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Andersson, L. (2009). Stability of Doubly Warped Product Spacetimes. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_2
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DOI: https://doi.org/10.1007/978-90-481-2810-5_2
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