String excitation inside generic black holes

Details String excitation inside generic black holes String excitation inside generic black holes

1999-08-02

arxiv.org/abs/gr-qc/9908007v1

Phys.Rev. D61 (2000) 024020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, REVtex, 4 figures, Submitted to PRD

Scientific paper

10.1103/PhysRevD.61.024020

We calculate how much a first-quantized string is excited after crossing the inner horizon of charged Vaidya solutions, as a simple model of generic black holes. To quantize a string suitably, we first show that the metric is approximated by a {\it plane-wave} metric near the inner horizon when the surface gravity of the horizon $\kappa_I$ is small enough. Next, it is analytically shown that the string crossing the inner horizon is excited infinitely in an asymptotically flat spacetime, while it is finite in an asymptotically de Sitter spacetime and the string can pass across the inner horizon when $\kappa_I<2\kappa:= 2 {min}\{\kappa_B,\kappa_C \}$, where $\kappa_B$~($\kappa_C$) is the surface gravity of the black hole~(cosmological) event horizon. This implies that the strong cosmic censorship holds in an asymptotically flat spacetime, while it is violated in an asymptotically de Sitter spacetime from the point of view of string theory.

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