Static self-gravitating elastic bodies in Einstein gravity

Autor(en)

Lars Andersson, Robert Beig, Bernd Schmidt

Abstrakt

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.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut), University of Miami

Journal

Communications on Pure and Applied Mathematics

Band

61

Seiten

988-1023

Anzahl der Seiten

36

ISSN

0010-3640

DOI

https://doi.org/10.1002/cpa.20230

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8576f400-0fb6-40c9-8cf0-705aa82a1403