### 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 plane-wave metric near the inner horizon when the surface gravity of the horizon κ_{1} 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 κ_{1}<2κ:=2min{κ_{B},κ_{C}}, where κ_{B}(κ_{C}) is the surface gravity of the black hole (cosmological) event horizon. This implies that 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.

Original language | English |
---|---|

Article number | 024020 |

Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 61 |

Issue number | 2 |

Publication status | Published - 2000 Jan 15 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*61*(2), 1-8. [024020].

**String excitation inside generic black holes.** / Maeda, Kengo; Torii, Takashi; Narita, Makoto.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 61, no. 2, 024020, pp. 1-8.

}

TY - JOUR

T1 - String excitation inside generic black holes

AU - Maeda, Kengo

AU - Torii, Takashi

AU - Narita, Makoto

PY - 2000/1/15

Y1 - 2000/1/15

N2 - 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 plane-wave metric near the inner horizon when the surface gravity of the horizon κ1 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 κ1<2κ:=2min{κB,κC}, where κB(κC) is the surface gravity of the black hole (cosmological) event horizon. This implies that 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.

AB - 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 plane-wave metric near the inner horizon when the surface gravity of the horizon κ1 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 κ1<2κ:=2min{κB,κC}, where κB(κC) is the surface gravity of the black hole (cosmological) event horizon. This implies that 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.

UR - http://www.scopus.com/inward/record.url?scp=17044385409&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17044385409&partnerID=8YFLogxK

M3 - Article

VL - 61

SP - 1

EP - 8

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 024020

ER -