Nonperturbative Instability of Black Holes in Quantum Gravity

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 $S_{bh}$. 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.''

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

References in corpus (1)

• Gravitational Instanton for Black Hole Radiation

Cited by in corpus (6)

• A Spacetime Foam approach to the cosmological constant and entropy
• Entropy and the cosmological constant: a spacetime-foam approach
• A Spacetime Foam Approach to the Schwarzschild-de Sitter Entropy
• Space-time Foam, Casimir energy and black hole pair creation
• Tunneling to Holographic Traversable Wormholes
• Topology Change and Nonperturbative Instability of Black Holes in Quantum Gravity