Structure of the Cauchy horizon singularity

Details Structure of the Cauchy horizon singularity Structure of the Cauchy horizon singularity

1997-10-08

arxiv.org/abs/gr-qc/9710044v1

in The Eighth Marcel Grossmann Meeting, Volume I, edited by Tsvi Piran (World Scientific, Singapore, 1999), p.p. 673-675

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages. Talk presented at the Eighth Marcel Grossmann Meeting, June 22 - June 27, 1997, Jerusalem, Israel

Scientific paper

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 perturbations vanish, 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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