Fermion Tunneling from an Axis-Symmetric Black Hole beyond the Semiclassical Approximation

Abstract

Based on the Hamilton-Jacobi method beyond the semiclassical approximation proposed by R. Baberjee and B.R. Majhi, Hawking radiation of Dirac particle as tunneling through the event horizon is calculated. It is shown that all quantum corrections in the fermion particle action are proportional to the usual semiclassical contribution. Under the conception of irreducible mass and the first law of thermodynamics, the modifications to Hawking temperature and Bekenstein-Hawking entropy are given for a Kerr-Newmann black hole.

Tunnelling of relativistic particles from new type black hole in new massive gravity

“…where S is the classical action function of a particle trajectory [38][39][40][41][42]. Therefore, in order to discuss tunneling probability, one needs to calculate the imaginary part of a classical action function, S, regarding the tunnelling probability.…”

“…(2.18), we find that ImK + (r) = −ImK − (r) (see also [43]). Therefore, the tunneling probability of the Dirac particle from the outer event horizon is given by [38][39][40][41][42] Γ = e − 2 ImS = P out…”

“…Therefore, in recent years, the Hawking radiation has been proposed as a quantum tunnelling effect [9][10][11][12][13]. In the framework of standard Einstein general relativity, the Hawking radiation as a tunnelling process for the particles from various black holes has been studied, extensively, in the literature both in (3+1) [14][15][16][17][18][19][20][21][22] and in (2+1) [23,24] dimensional spacetime. Kerner and Mann have presented a method to investigate Hawking radiation for a Dirac particle as a Quantum tunnelling process from the Rindler and non-rotating black hole spacetime [12,13].…”

The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole

“…For instance, the Hamilton-Jacobi approach is an effective way to study the Hawking radiation as a quantum tunneling process of particles from black holes. In this context, Hawking radiation is seen to be extensively investigated in the literature in the context of quantum tunneling of a pointlike elementary particle [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34]. These studies show that Hawking radiation of a black hole must be completely independent from the mass, total angular momentum, energy, charge of a tunneling point particle.…”