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