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



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ID: 429248.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory: study in terms of soliton methods
Authors:Ansorg, Marcus; Hennig, Jörg
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Annales Henri Poincare
Volume:10
Start Page:1075
End Page:1095
Review Status:not specified
Audience:Not Specified
Abstract / Description:We use soliton methods in order to investigate the interior electrovacuum region of axisymmetric and stationary, electrically charged black holes with arbitrary surrounding matter in Einstein-Maxwell theory. These methods can be applied since the Einstein-Maxwell vacuum equations permit the formulation in terms of the integrability condition of an associated linear matrix problem. We find that there always exists a regular inner Cauchy horizon inside the black hole, provided the angular momentum J and charge Q of the black hole do not vanish simultaneously. Moreover, the soliton methods provide us with an explicit relation for the metric on the inner Cauchy horizon in terms of that on the event horizon. In addition, our analysis reveals the remarkable universal relation (8\pi J)2+(4\pi Q2)2=A+ A-, where A+ and A- denote the reas of event and inner Cauchy horizon respectively.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:LOCALID:arXiv:0904.2071
URL:http://arxiv.org/abs/0904.2071
DOI:10.1007/s00023-009-0012-0
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0904.2071v1.pdf  [253,00 Kb] [Comment:arXiv:0904.2071v1 [gr-qc]]  
 
AnnHP10_09_1075.pdf  [316,00 Kb] [Comment:Open Access Article]  
 
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