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ID: 293610.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Static self-gravitating elastic bodies in Einstein gravity
Authors:Andersson, Lars; Beig, Robert; Schmidt, Bernd G.
Date of Publication (YYYY-MM-DD):2008
Title of Journal:Communications on Pure and Applied Mathematics
Volume:61
End Page:988
Sequence Number of Article:1023
Review Status:not specified
Audience:Not Specified
Abstract / Description:We prove that given a stress-free elastic body there exists, for sufficiently small values of the gravitational constant, a unique static solution of the Einstein equations coupled to the equations of relativistic elasticity. The solution constructed is a small deformation of the relaxed configuration. This result yields the first proof of existence of static solutions of the Einstein equations without symmetries.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:LOCALID:arXiv:gr-qc/0611108
DOI:10.1002/cpa.20230
URL:http://www3.interscience.wiley.com/journal/1173547...
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