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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 3106.0, MPI für Gravitationsphysik / Astrophysical Relativity
Geometric Characterizations of the Kerr Isolated Horizon
Authors:Lewandowski, Jerzy; Pawlowski, Tomasz
Language:English
Date of Publication (YYYY-MM-DD):2002
Title of Journal:International Journal of Modern Physics D
Volume:11
Issue / Number:5
Start Page:739
End Page:746
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:We formulate conditions on the geometry of a nonexpanding horizon Delta which axe sufficient for the spacetime metric to coincide on Delta with the Kerr metric. We introduce an invariant which can be used as a measure of how different the geometry of a given nonexpanding horizon is from the geometry of the Kerr horizon. Directly, our results concern the spacetime metric at Delta at the zeroth and the first orders. Combined with the results of Ashtekar, Beetle and Lewandowski, our conditions can be used to compare the spacetime geometry at the nonexpanding horizon with that of Kerr to every order. The results should be useful to numerical relativity in analyzing the sense in which the final black hole horizon produced by a collapse or a merger approaches the Kerr horizon.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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