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://ucris.univie.ac.at/portal/en/publications/static-selfgravitating-elastic-bodies-in-einstein-gravity(8576f400-0fb6-40c9-8cf0-705aa82a1403).html