Corrected entropy of BTZ black hole in tunneling approach

Sujoy Kumar Modak

doi:10.1016/j.physletb.2008.11.043

Sujoy Kumar Modak

Open Access

https://doi.org/10.1016/j.physletb.2008.11.043

Copy DOI

Abstract

We investigate further the recent analysis [R. Banerjee, B.R. Majhi, JHEP 0806 (2008) 095, arXiv: 0805.2220], based on a Hamilton–Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how nonspherically symmetric geometries are inducted in the general formalism by explicitly considering the BTZ black hole. The leading (logarithmic) and nonleading corrections to the area law are obtained.

Highlights

The fact that black holes can radiate [1, 2] has led to a calculation of its thermodynamic entities like temperature and entropy
Explicit examples were mostly confined to black holes with spherically symmetric geometries
The object of this paper is to investigate further the general formalism of [25] by including non spherically symmetric geometries

Summary

Introduction

The fact that black holes can radiate [1, 2] has led to a calculation of its thermodynamic entities like temperature and entropy. We explicitly compute the corrected expressions for the temperature, entropy and area law for the BTZ black hole. The expression of semiclassical Hawking temperature for any general metric is given by [25],

Results

Conclusion