Phys. Rev. D 57, R7084–R7088 (1998)Analytic study of the null singularity inside spherical charged black holes
We study analytically the features of the Cauchy horizon (CH) singularity inside a spherically symmetric charged black hole, nonlinearly perturbed by a self-gravitating massless scalar field. We derive exact expressions for the divergence rate of the blue-shift factors, namely the derivatives in the outgoing direction of the scalar field Φ and the area coordinate r. Both derivatives are found to grow along the contracting CH exactly like 1/r. Our results are valid everywhere along the CH singularity, down to the point of full focusing. These exact analytic expressions are verified numerically. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.R7084
DOI:
10.1103/PhysRevD.57.R7084
PACS:
04.70.Bw, 04.20.Dw
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