MG14 - Talk detail |
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Participant |
Merlin, Cesar | |||||||
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Institution |
University of Southampton - Highfield - Southampton - Hampshire - United Kingdom | |||||||
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Session |
BN5 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Completion of metric reconstruction for a particle orbiting a Kerr black hole | |||||
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Abstract |
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Pdf file |
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Session |
BN5 |
Accepted |
|
Order |
Time |
|||
|
Talk |
Oral abstract |
Title |
Completion of metric reconstruction for a particle orbiting a Kerr black hole | |||||
| Coauthors | ||||||||
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Abstract |
In General Relativity the description of a compact object embedded in a strong gravitation field can be obtained using perturbation theory. Solving for the metric perturbation is a highly non trivial task, since in general involves solving a set of ten coupled partial differential equations. Working in radiation-gauge simplifies the problem since a piece of the metric perturbation can be recovered from curvature scalars by solving a wave-like equation (Teukolsky equation). The remaining 'completion' piece is required to satisfy the full linearised Einstein field equations. In this talk we propose a new method to include the completion piece of the perturbation in Kerr. It is based on imposing smoothness of certain auxiliary gauge-invariant-quantities away from the particle to determine the amplitudes of the mass and angular momentum perturbations. We obtain the completion piece for Schwarzschild, and for equatorial orbits in Kerr. We discuss how our method could be extended for geodesic non-equatorial orbits around Kerr. |
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Pdf file |
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