Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP

M.A Anacleto,F.A Brito,E Passos

doi:10.1016/j.physletb.2015.07.072

Abstract

In this paper we focus on the Hamilton–Jacobi method to determine the entropy of a self-dual black hole by using linear and quadratic GUPs (generalized uncertainty principles). We have obtained the Bekenstein–Hawking entropy of self-dual black holes and its quantum corrections that are logarithm and also of several other types.

Highlights

The study of the black hole has been the subject of great interest from the fundamental physics in the last decades
In particular a regular static black hole metric, known as loop black hole (LBH) or self-dual black hole, with quantum gravity corrections inspired by loop quantum gravity was derived in [2]
Loop quantum gravity is based on a canonical quantization of the Einstein equations written in terms of the Ashtekar variables [3], that is in terms of a SU (2) 3-dimensional connection A and a triad E

Summary

INTRODUCTION

The study of the black hole has been the subject of great interest from the fundamental physics in the last decades. In [21] has been studied the effects of the GUP in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy of a Schwarzschild black hole. In this paper, inspired by all of these previous work we shall focus on the Hamilton-Jacobi method to determine the entropy of a self-dual black hole using the GUP and considering the WKB approximation in the tunneling formalism to calculate the imaginary part of the action in order to determine the Hawking temperature and entropy for self-dual black holes. We anticipate that we have obtained the Bekenstein-Hawking entropy of self-dual black holes and its quantum corrections that are logarithm and of several other types

TUNNELING FORMALISM FOR SELF-DUAL BLACK HOLES

LOGARITHMIC CORRECTION TO THE ENTROPY

CONCLUSIONS