Analytic study of the null singularity inside spherical charged black holes

Details Analytic study of the null singularity inside spherical charged black holes Analytic study of the null singularity inside spherical charged black holes

1997-11-10

arxiv.org/abs/gr-qc/9711032v1

Phys.Rev.D57:7084-7088,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, RevTeX, no figures

Scientific paper

10.1103/PhysRevD.57.7084

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 $\Phi$ 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, up to the point of full focusing. These exact analytic expressions are verified numerically.

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