Survival of the black hole's Cauchy horizon under non-compact perturbations

Abstract

We study numerically the evolution of spactime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of non-compact support. We use a very simplified toy model of a spherical charged black hole which is perturbed nonlinearly by a self-gravitating, spherical scalar field. The latter grows logarithmically with advanced time along an outgoing characteristic hypersurface. We find that for that class of perturbations a portion of the Cauchy horizon survives as a non-central, null singularity.

5 pages, 4 figures

References in corpus (2)

• Oscillatory null singularity inside realistic spinning black holes
• Strength of the null singularity inside black holes

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