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Phys Rev Lett. 2009 Jun 05;102(22):221102. doi: 10.1103/PhysRevLett.102.221102. Epub 2009 Jun 05.

Inner cauchy horizon of axisymmetric and stationary black holes with surrounding matter in einstein-maxwell theory.

Physical review letters

Marcus Ansorg, Jörg Hennig

Affiliations

  1. Max Planck Institute for Gravitational Physics, Am Mühlenberg 1, D-14476 Golm, Germany. [email protected]

PMID: 19658851 DOI: 10.1103/PhysRevLett.102.221102

Abstract

We study the interior electrovacuum region of axisymmetric and stationary black holes with surrounding matter and find that there exists always 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. In particular, we derive an explicit relation for the metric on the Cauchy horizon in terms of that on the event horizon. Moreover, our analysis reveals the remarkable universal relation (8piJ);{2}+(4piQ;{2});{2}=A;{+}A;{-}, where A+ and A- denote the areas of event and Cauchy horizon, respectively.

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