Black hole motion in Euclidean space as a diffusion process

Details Black hole motion in Euclidean space as a diffusion process Black hole motion in Euclidean space as a diffusion process

2012-02-21

arxiv.org/abs/1202.4730v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures; v.2: a mistake in deriving of the diffusion equation corrected; a relation between the entropy of diffusi

Scientific paper

A diffusion equation for a black hole is derived from the Bunster-Carlip
equations. Its solution has the standard form of a Gaussian distribution. The
second moment of the distribution determines the quantum of black hole area.
The entropy of diffusion process is the same, apart from the logarithmic
corrections, as the Bekenstein-Hawking entropy.

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