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://ucris.univie.ac.at/portal/en/publications/elastic-deformations-of-compact-stars(14317048-c88e-42ff-b9d9-de306eb23577).html