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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 392909.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
Authors:Ansorg, Marcus; Hennig, Jörg
Date of Publication (YYYY-MM-DD):2008-11-21
Title of Journal:Classical and Quantum Gravity
Volume:25
Issue / Number:22
Sequence Number of Article:222001
Review Status:not specified
Audience:Not Specified
Abstract / Description:We investigate the interior of regular axisymmetric and stationary black holes surrounded by matter and find that for non-vanishing angular momentum of the black hole the spacetime can always be extended regularly up to and including an inner Cauchy horizon. We provide an explicit relation for the regular metric at the inner Cauchy horizon in terms of that at the event horizon. As a consequence, we obtain the universal equality (8πJ)2 = A+A− where J is the black hole's angular momentum and A− and A+ denote the horizon areas of inner Cauchy and event horizons, respectively. We also find that in the limit J → 0 the inner Cauchy horizon becomes singular.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:ISSN:0264-9381
DOI:10.1088/0264-9381/25/22/222001
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