Static self-gravitating elastic bodies in Einstein gravity

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dc.creatorAndersson, Lars
dc.creatorBeig, Robert
dc.creatorSchmidt, Bernd
dc.date2006-11-20
dc.date2009-01-12
dc.date.accessioned2026-07-07T12:28:07Z
dc.date.available2026-07-07T12:28:07Z
dc.descriptionWe 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.
dc.description29 pages. Updated to conform with published version, typos fixed
dc.identifierhttps://arxiv.org/abs/gr-qc/0611108
dc.identifierhttp://arxiv.org/abs/gr-qc/0611108
dc.identifierCommun.PureAppl.Math.61:988-1023,2008
dc.identifierdoi:10.1002/cpa.20230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215436
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStatic self-gravitating elastic bodies in Einstein gravity
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