Black hole motion in Euclidean space as a diffusion process

Abstract

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.

6 pages, no figures; v.2: a mistake in deriving of the diffusion equation corrected; a relation between the entropy of diffusion process and the Bekenstein-Hawking entropy corrected

References in corpus (5)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Black hole spectroscopy via adiabatic invariance
• Quantization of the black hole area as quantization of the angular momentum component
• On the "Universal" Quantum Area Spectrum
• Role of Horizons in Semiclassical Gravity: Entropy and the Area Spectrum

Cited by in corpus (2)

• Central charge
• Black hole motion in Euclidean space as a diffusion process II