Black hole motion in Euclidean space as a diffusion process II

Abstract

A diffusion equation approach to black hole thermodynamics in Euclidean sector is proposed. A diffusion equation for a generic in Euclidean sector is derived from the Bloch equation. Black hole thermodynamics is also derived and it is found, in particular, that the entropy of a generic Kerr-Newman black hole is the same, apart from the logarithmic corrections, as the Bekenstein-Hawking entropy of the black hole.

5 pages, no figures; v3: a Kerr-Newman black holea is described by the canonical density matrix for a particle moving in a potential, not by the grand canonical density matrix; title, abstract and text slightly changed; results remains unchanged