The University of Southampton
University of Southampton Institutional Repository

Rotational modes of relativistic stars: numerical results

Rotational modes of relativistic stars: numerical results
Rotational modes of relativistic stars: numerical results
We study the inertial modes of slowly rotating, fully relativistic compact stars. The equations that govern perturbations of both barotropic and nonbarotropic models are discussed, but we present numerical results only for the barotropic case. For barotropic stars all inertial modes are a hybrid of axial and polar perturbations. We use a spectral method to solve for such modes of various polytropic models. Our main attention is on modes that can be driven unstable by the emission of gravitational waves. Hence, we calculate the gravitational-wave growth time scale for these unstable modes and compare the results to previous estimates obtained in Newtonian gravity (i.e. using post-Newtonian radiation formulas). We find that the inertial modes are slightly stabilized by relativistic effects, but that previous conclusions concerning, e.g., the unstable r modes remain essentially unaltered when the problem is studied in full general relativity.
1550-7998
124010-[23pp]
Lockitch, Keith H.
e5c44256-3ae5-42e8-989b-f5d07683c3ba
Friedman, John L.
b27c1258-264f-4ec7-89e1-d02939b7dd66
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Lockitch, Keith H.
e5c44256-3ae5-42e8-989b-f5d07683c3ba
Friedman, John L.
b27c1258-264f-4ec7-89e1-d02939b7dd66
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Lockitch, Keith H., Friedman, John L. and Andersson, Nils (2003) Rotational modes of relativistic stars: numerical results. Physical Review D, 68 (12), 124010-[23pp]. (doi:10.1103/PhysRevD.68.124010).

Record type: Article

Abstract

We study the inertial modes of slowly rotating, fully relativistic compact stars. The equations that govern perturbations of both barotropic and nonbarotropic models are discussed, but we present numerical results only for the barotropic case. For barotropic stars all inertial modes are a hybrid of axial and polar perturbations. We use a spectral method to solve for such modes of various polytropic models. Our main attention is on modes that can be driven unstable by the emission of gravitational waves. Hence, we calculate the gravitational-wave growth time scale for these unstable modes and compare the results to previous estimates obtained in Newtonian gravity (i.e. using post-Newtonian radiation formulas). We find that the inertial modes are slightly stabilized by relativistic effects, but that previous conclusions concerning, e.g., the unstable r modes remain essentially unaltered when the problem is studied in full general relativity.

This record has no associated files available for download.

More information

Published date: 2003

Identifiers

Local EPrints ID: 29452
URI: http://eprints.soton.ac.uk/id/eprint/29452
ISSN: 1550-7998
PURE UUID: 067fde5b-a8e1-4799-a37e-95b775044b72
ORCID for Nils Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 12 May 2006
Last modified: 28 Jun 2022 01:36

Export record

Altmetrics

Contributors

Author: Keith H. Lockitch
Author: John L. Friedman
Author: Nils Andersson ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×