Static self-gravitating elastic bodies in Einstein gravity

Author(s)
Lars Andersson, Robert Beig, Bernd Schmidt
Abstract

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(s)
Gravitational Physics
External organisation(s)
Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut), University of Miami
Journal
Communications on Pure and Applied Mathematics
Volume
61
Pages
988-1023
No. of pages
36
ISSN
0010-3640
DOI
https://doi.org/10.1002/cpa.20230
Publication date
2008
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/static-selfgravitating-elastic-bodies-in-einstein-gravity(8576f400-0fb6-40c9-8cf0-705aa82a1403).html