Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen -Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access to the gravitational waveform at null infinity in a general...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 26; no. 3; pp. 035009 - 035009 (19)
Main Authors Zenginoğlu, Anıl, Núñez, Darío, Husa, Sascha
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 07.02.2009
Institute of Physics
Subjects
Exact sciences and technology
General relativity and gravitation
Physics
Kerr metric
Compactification
Gauge fixing
Schwarzschild metric
Disturbances
Wave forms
Initial value problems
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Summary:We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen -Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access to the gravitational waveform at null infinity in a general setup. We argue that this hyperboloidal approach leads to a more accurate and efficient calculation of the radiation signal than the common approach where a timelike outer boundary is introduced. The method can be generalized to study perturbations of Kerr spacetime using the Teukolsky equation.
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/3/035009