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Elastic deformations of compact stars

Autor(en)
Lars Andersson, Robert Beig, Bernd G. Schmidt
Abstrakt

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(en)
Gravitationsphysik
Externe Organisation(en)
Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
Journal
Classical and Quantum Gravity
Band
31
Anzahl der Seiten
30
ISSN
0264-9381
DOI
https://doi.org/10.1088/0264-9381/31/18/185006
Publikationsdatum
09-2014
Peer-reviewed
Ja
ÖFOS 2012
103004 Astrophysik, 103028 Relativitätstheorie
Schlagwörter
ASJC Scopus Sachgebiete
Physics and Astronomy (miscellaneous)
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/14317048-c88e-42ff-b9d9-de306eb23577