Elastic deformations of compact stars
- Author(s)
- Lars Andersson, Robert Beig, Bernd G. Schmidt
- Abstract
We prove existence of solutions for an elastic body interacting with itself through its Newtonian gravitational field. Our construction works for configurations near one given by a self-gravitating ball of perfect fluid. We use an implicit function argument. In so doing we have to revisit some classical work in the astrophysical literature concerning linear stability of perfect fluid stars. The results presented here extend previous work by the authors, which was restricted to the astrophysically insignificant situation of configurations near one of vanishing stress. In particular, 'mountains on neutron stars', which are made possible by the presence of an elastic crust in neutron stars, can be treated using the techniques developed here.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
- Journal
- Classical and Quantum Gravity
- Volume
- 31
- No. of pages
- 30
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/31/18/185006
- Publication date
- 09-2014
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103004 Astrophysics, 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/elastic-deformations-of-compact-stars(14317048-c88e-42ff-b9d9-de306eb23577).html