Entropy spectrum of the D-dimensional massless topological black hole

TL;DR

This paper calculates the entropy spectrum of the massless topological black hole using quasinormal frequencies, providing insights into black hole thermodynamics in higher-dimensional anti-de Sitter spaces.

Contribution

It applies Hod's proposal to a massless topological black hole, deriving its entropy spectrum and comparing it with other topological black holes.

Findings

Entropy spectrum derived from quasinormal modes.

Comparison with other topological black holes.

Insights into black hole thermodynamics in AdS spaces.

Abstract

There are exact solutions to Einstein's equations with negative cosmological constant that represent black holes whose event horizons are manifolds of negative curvature, the so-called topological black holes. Among these solutions there is one, the massless topological black hole, whose mass is equal to zero. Hod proposes that in the semiclassical limit the asymptotic quasinormal frequencies determine the entropy spectrum of the black holes. Taking into account this proposal, we calculate the entropy spectrum of the massless topological black hole and we compare with the results on the entropy spectra of other topological black holes.