English

Nonperturbative Instability of Black Holes in Quantum Gravity

General Relativity and Quantum Cosmology 2009-12-31 v1

Abstract

The decay rate for a black hole to decay nonperturbatively via tunneling is shown to be related to the Bekenstein-Hawking black hole entropy SbhS_{bh}. This new physical interpretation of the black hole entropy was presented first in 1988 in this paper. I quote here the relevant statement: ``It should be noticed that the decay rate of a black hole due to nonperturbative instability is proportional to exp(Sbh\exp(-S_{bh}, where SbhS_{bh} is the Bekenstein-Hawking entropy. This seems to indicate that the Bekenstein-Hawking entropy is the measure of the ability of a black hole to disappear from our Universe in the one quantum jump, with the simultaneous production of particles carrying away its total energy.''

Keywords

Cite

@article{arxiv.gr-qc/9709079,
  title  = {Nonperturbative Instability of Black Holes in Quantum Gravity},
  author = {Pawel O. Mazur},
  journal= {arXiv preprint arXiv:gr-qc/9709079},
  year   = {2009}
}

Comments

Phyzzx file, 19 pp.; The relation between the black hole entropy to the decay rate of a black hole due to tunneling was first derived in this paper in 1988. Selected references with comments added on September 29, 1997