The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter

Details The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter

2008-10-22

arxiv.org/abs/0810.3998v1

Class.Quant.Grav.25:222001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures

Scientific paper

10.1088/0264-9381/25/22/222001

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 space time 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 $(8\pi J)^2 = A^+ A^-$ where $J$ is the black hole's angular momentum and $A^-$ and $A^+$ denote the horizon areas of inner Cauchy and event horizon, respectively. We also find that in the limit $J \to 0$ the inner Cauchy horizon becomes singular.

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