Structure of the black hole's Cauchy horizon singularity

Details Structure of the black hole's Cauchy horizon singularity Structure of the black hole's Cauchy horizon singularity

1997-10-26

arxiv.org/abs/gr-qc/9710112v1

Phys.Rev.Lett. 79 (1997) 4958-4961

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, RevTeX, 4 Encapsulated PostScript figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.79.4958

We study the Cauchy horizon (CH) singularity of a spherical charged black hole perturbed nonlinearly by a self-gravitating massless scalar field. We show numerically that the singularity is weak both at the early and at the late sections of the CH, where the focusing of the area coordinate $r$ is strong. In the early section the metric is almost Reissner-Nordstr\"{o}m, and the fields behave according to perturbation analysis. We find exact analytical expressions for the gradients of $r$ and of the scalar field, which are valid at both sections. We then verify these analytical results numerically.

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