Stability of the Cauchy horizon in Kerr--de Sitter spacetimes

Details Stability of the Cauchy horizon in Kerr--de Sitter spacetimes Stability of the Cauchy horizon in Kerr--de Sitter spacetimes

1994-04-08

arxiv.org/abs/gr-qc/9404015v1

Class.Quant.Grav.11:1035-1054,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, NCL93-TP10 (TeX)

Scientific paper

10.1088/0264-9381/11/4/019

We begin a program of work aimed at examining the interior of a rotating black hole with a non--zero cosmological constant. The generalisation of Teukolsky's equation for the radial mode functions is presented. It is shown that the energy fluxes of scalar, electromagnetic and gravity waves are regular at the Cauchy horizon whenever the surface gravity there is less than the surface gravity at the cosmological horizon. This condition is narrowly allowed, even when the cosmological constant is very small, thus permitting an observer to pass through the hole, viewing the naked singularity along the way.

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