String excitation inside generic black holes

Abstract

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 ${\kappa }_I<2\kappa :=2min\{{\kappa }_B,{\kappa }_C\}$, 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.

8 pages, REVtex, 4 figures, Submitted to PRD

References in corpus (3)

• Structure of the black hole's Cauchy horizon singularity
• Cosmic Censorship: As Strong As Ever
• Properties of Naked Black Holes

Cited by in corpus (5)

• Quasinormal modes and Strong Cosmic Censorship
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime
• Stringy Forces in the Black Hole Interior
• The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime