Phys. Rev. D 66, 024046 (2002) [5 pages]Survival of the black hole’s Cauchy horizon under noncompact perturbationsReceived 26 February 2002; published 31 July 2002 We study numerically the evolution of spacetime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of noncompact 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 noncentral, null singularity. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.024046
DOI:
10.1103/PhysRevD.66.024046
PACS:
04.70.Bw, 04.20.Dw
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