Black hole quantum tunnelling and black hole entropy correction

Abstract

Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a tunnelling process, is investigated again. As the first order correction, the log-corrected entropy-area relation naturally emerges in the tunnelling picture if we consider the emission of a spherical shell. The second order correction of the emission rate for the Schwarzschild black hole is calculated too. In this level, the result is still in agreement with the unitary theory, however, the entropy of the black hole will contain three parts: the usual Bekenstein-Hawking entropy, the logarithmic term and the inverse area term. In our results the coefficient of the logarithmic term is -1. Apart from a coefficient, Our correction to the black hole entropy is consistent with that of loop quantum gravity.Comment: 9 page

Initiating the Effective Unification of Black Hole Horizon Area and Entropy Quantization with Quasi-Normal Modes

“…Note that the coefficient of the leading order correction depends on the nature of the theory. Apart from a coefficient, this correction to the BH's entropy is consistent with the one of LQG [49,50], where the coefficient of the logarithmic term has been rigorously fixed at 1/2 [49,50]. Therefore, the expression of (52) for Bekenstein-Hawking entropy permits us to rewrite (53) as [31,32] total SBH = 8…”

“…For a better understanding of a BH's entropy one needs to go beyond Bekenstein-Hawking entropy and identify the subleading corrections [48]. Hence, the quantum tunneling approach can be used to obtain the subleading corrections to the second order approximation [49,50], where one observes that the BH's entropy…”

“…contains three distinct parts: the usual Bekenstein-Hawking entropy, the logarithmic term, and the inverse area term [49,50]. In fact, if one wants to satisfy the unitary QG theory, then the logarithmic and inverse area terms must be requested [49,50].…”

“…In fact, if one wants to satisfy the unitary QG theory, then the logarithmic and inverse area terms must be requested [49,50]. Note that the coefficient of the leading order correction depends on the nature of the theory.…”

Charged Particle’s Tunneling in a Modified Reissner-Nordstrom Black Hole

“…Thence, by the Hamilton-Jacobi method, the quantum correction to the tunneling program was discussed and the quantum corrected entropy of black holes was calculated [26][27][28][29][30][31][32][33]. Also, in the radial trajectory method, the quantum effects of spacetime was considered and the emission rate was related the quantum corrected entropy of black hole [34][35][36][37][38][39][40][41][42][43]. These results show that, considering the quantum corrections of black hole entropy and spacetime, information conservation of black hole is still possible.…”