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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 445909.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Stability of Doubly Warped Product Spacetimes
Authors:Andersson, Lars
Language:English
Place of Publication:Berlin u.a.
Publisher:Springer
Date of Publication (YYYY-MM-DD):2009-08-31
Title of Book:New Trends in Mathematical Physics
Start Page:23
End Page:32
Full Name of Book-Editor(s):Sidoravičius, Vladas
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:InBook
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:DOI:10.1007/978-90-481-2810-5
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