Entropy bound for a rotating system from Anti de Sitter black holes

TL;DR

This paper derives a universal entropy bound for rotating systems near anti-de Sitter black holes, showing it is independent of black hole parameters and spacetime dimensions, thus extending Hod's results.

Contribution

The paper provides the first derivation of a universal entropy bound for rotating systems from Kerr-AdS and BTZ black holes, independent of black hole parameters and dimensions.

Findings

Entropy bound matches Hod's result for Kerr black holes.

The bound is independent of black hole parameters.

The bound applies to both (3+1)D and (2+1)D anti-de Sitter black holes.

Abstract

General geodesic equations of the motion of spinning systems around the (3+1)-dimensional and (2+1)-dimensional rotating anti-de Sitter black holes have been obtained. Based upon these equations, we derived the entropy bound for a rotating system from Kerr-Anti de Sitter black holes and BTZ black holes, respectively. Our result coincides with that of Hod's derived from Kerr black hole, which shows that the entropy bound of the rotating system is neither dependent on the black hole parameters, nor on spacetime dimensions. It is a universal entropy bound.