Quantum entropy of the Kerr black hole arising from gravitational perturbation

Abstract

The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using the Null tetrad and 't Hooft's brick-wall model. It is shown that the effect of the graviton's spin on the subleading correction is dependent on the square of the spins and the angular momentum per unit mass of the black hole, and the contribution of the logarithmic term to the entropy will be positive, zero, and negative for different value of a/r ϩ . ͱ2 ͓Ϫia sin , 0, Ϫ⌺, i͑r 2 ϩa 2 ͒sin ͔, ͑1͒ here and hereafter the superscript ''A'' represents the unperturbed values in the stationary space-time, ϭϪ(r Ϫia cos ) Ϫ1 , ⌺ϭr 2 ϩa 2 cos 2 , ⌬ϭ(rϪr ϩ )(rϪr Ϫ ), r Ϯ ϭM ϮͱM 2 Ϫa 2 , and r ϩ , M, and a represent the radius of the event horizon, the mass, and the angular momentum per unit mass of the Kerr black hole, respectively. The nonvan-*

State equations for massless spin fields in static spherical spacetime filled with quintessence

“…However, for de-Sitter spacetime, the spindependent term contains an invariant part, so it may not be neglected commonly even for large r, this point is very different from that for the asymptotically flat case. It is worth emphasizing that these equations are consistent with the conclusions obtained earlier [2][3][4][5] and the present results are important for further investigating the effect of spin on thermodynamics and understanding the generalized second law of thermodynamics.…”

Statistical Entropy of Vaidya-de Sitter Black Hole to All Orders in Planck Length

“…In this model, the Bekenstein-Hawking entropy is identified with the statistical entropy arising from a thermal bath of quantum fields propagating outside the event horizon. Because the number of quantum states is divergent at the horizon, the entropy is divergent unless a cutoff is introduced [4][5][6][7][8][9][10][11][12][13][14]. This model can be applied to the static black hole but can not be applied to non-static or dynamic black holes.…”

Statistical Entropy of 5D Ricci-Flat Space-Time with Generalized Uncertainty Principle Revised

“…In this model the Bekenstein-Hawking entropy is identified with the statistical-mechanical entropy arising from a thermal bath of quantum fields propagating outside the event horizon. Because the number of quantum states is divergent at the horizon, the entropy is divergent unless introducing a cutoff ε [4][5][6][7][8][9][10][11][12][13][14]. Recently, people found that the idea of minimal length would correct the state density.…”