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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 3122.0, MPI für Gravitationsphysik / Astrophysical Relativity
Extremal Isolated Horizons: A Local Uniqueness Theorem
Authors:Lewandowski, Jerzy; Pawlowski, Tomasz
Language:English
Date of Publication (YYYY-MM-DD):2003-02-21
Title of Journal:Classical and Quantum Gravity
Volume:20
Issue / Number:4
Start Page:587
End Page:606
Review Status:not specified
Audience:Not Specified
Abstract / Description:We derive all the axi-symmetric, vacuum, and electrovac extremal isolated horizons. It turns out, that for every horizon in this class, the induced metric tensor, the rotation 1-form potential, and the pullback of the electromagnetic field necessarily coincide with those induced by the monopolar, extremal Kerr-Newman solution on the event horizon. We also discuss the general case of a symmetric, extremal isolated horizon. In particular, we analyze the case of a 2-dimensional symmetry group generated by two null vector fields. Its relevance to the classification of all the symmetric isolated horizons, including the non-extremal once, is explained.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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