The University of Southampton
University of Southampton Institutional Repository

Perturbations of Schwarzschild black holes in the Lorenz gauge: formulation and numerical implementation

Perturbations of Schwarzschild black holes in the Lorenz gauge: formulation and numerical implementation
Perturbations of Schwarzschild black holes in the Lorenz gauge: formulation and numerical implementation
We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from ten scalar functions, satisfying a set of ten wavelike equations, which are decoupled at their principal parts. We solve these equations using numerical evolution in the time domain, for the case of a pointlike test particle set in a circular geodesic orbit around the black hole. Our code uses characteristic coordinates, and incorporates a constraint-damping scheme. The axially symmetric, odd-parity modes of the perturbation are obtained analytically. The approach developed here is especially advantageous in applications requiring knowledge of the local metric perturbation near a point particle; in particular, it offers a useful framework for calculations of the gravitational self-force.
1550-7998
104026-[25pp]
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Lousto, Carlos O.
afa05f00-0bf8-4ecc-8ac4-0506e1feda03
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Lousto, Carlos O.
afa05f00-0bf8-4ecc-8ac4-0506e1feda03

Barack, Leor and Lousto, Carlos O. (2005) Perturbations of Schwarzschild black holes in the Lorenz gauge: formulation and numerical implementation. Physical Review D, 72 (10), 104026-[25pp]. (doi:10.1103/PhysRevD.72.104026).

Record type: Article

Abstract

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from ten scalar functions, satisfying a set of ten wavelike equations, which are decoupled at their principal parts. We solve these equations using numerical evolution in the time domain, for the case of a pointlike test particle set in a circular geodesic orbit around the black hole. Our code uses characteristic coordinates, and incorporates a constraint-damping scheme. The axially symmetric, odd-parity modes of the perturbation are obtained analytically. The approach developed here is especially advantageous in applications requiring knowledge of the local metric perturbation near a point particle; in particular, it offers a useful framework for calculations of the gravitational self-force.

Full text not available from this repository.

More information

Published date: 2005

Identifiers

Local EPrints ID: 29373
URI: http://eprints.soton.ac.uk/id/eprint/29373
ISSN: 1550-7998
PURE UUID: 25ac9322-48e6-4a3d-940f-263d9c373c94
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

Catalogue record

Date deposited: 11 May 2006
Last modified: 17 Dec 2019 01:47

Export record

Altmetrics

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.

×