Black Hole Entropy and Exclusion Statistics

TL;DR

This paper calculates the entropy of quantum particles with fractional exclusion statistics around a 2+1 dimensional black hole, demonstrating the area law holds regardless of particle statistics or black hole angular momentum.

Contribution

It shows that the entropy obeys the area law for particles with fractional exclusion statistics in a 2+1 black hole background, independent of angular momentum.

Findings

Entropy follows the area law with a Planck scale cutoff

Results are valid for any interpolation between Bose-Einstein and Fermi-Dirac statistics

Entropy is independent of black hole angular momentum

Abstract

We compute the entropy of systems of quantum particles satisfying the fractional exclusion statistics in the space-time of 2+1 dimensional black hole by using the brick-wall method. We show that the entropy of each effective quantum field theory with a Planck scale ultraviolet cutoff obeys the area law, irrespective of the angular momentum of the black hole and the statistics interpolating between Bose-Einstein and Fermi-Dirac statistics.