Corrected entropy of BTZ black hole in tunneling approach

TL;DR

This paper extends the tunneling approach to compute the corrected entropy and temperature of BTZ black holes, including non-spherical geometries and quantum corrections beyond the semiclassical approximation.

Contribution

It introduces a formalism that incorporates non-spherical geometries into the tunneling approach for black hole thermodynamics, deriving quantum corrections to the entropy.

Findings

Logarithmic corrections to the area law are derived.

The formalism applies to non-spherically symmetric geometries.

Quantum corrections beyond semiclassical approximation are quantified.

Abstract

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric geometries are inducted in the general formalism by explicitly considering the BTZ black hole. The leading (logarithmic) and non leading corrections to the area law are obtained.