Nonperturbative Instability of Black Holes in Quantum Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Phyzzx file, 19 pp.; The relation between the black hole entropy to the decay rate of a black hole due to tunneling was first

Scientific paper

10.1142/S0217732389001714

The decay rate for a black hole to decay nonperturbatively via tunneling is shown to be related to the Bekenstein-Hawking black hole entropy $S_{bh}$. 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 $\exp(-S_{bh}$, where $S_{bh}$ 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.''

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