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

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

2002-06-04

arxiv.org/abs/gr-qc/0206012v1

Phys.Rev. D66 (2002) 024046

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 4 figures

Scientific paper

10.1103/PhysRevD.66.024046

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.

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