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Stability of doubly warped product spacetimes

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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Andersson.pdf
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Citation

Andersson, L. (2009). Stability of doubly warped product spacetimes. In V. Sidoravičius (Ed.), New Trends in Mathematical Physics (pp. 23-32). Springer Netherlands.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-652D-5
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.