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Effect of spin on the quantum entropy of black holes

“…They showed that there is no such surface term by applying the BWM, and they found that the leading term of the entropy for the electromagnetic fields is exactly twice the one for a massless scalar field. The result can be extended to the general static spherical static black holes even if we consider the both a leading and a sub-leading corrections [31]. However, the question whether or not the result is valid stationary axisymmetric black holes, say the Kerr and the Kerr-Newman black holes, is still remained open.…”

Quantum entropy of the Kerr black hole arising from gravitational perturbation

“…The BWM was used to the studies of the statistical-mechanical entropy arising from scalar fields for static black holes [3] [6] [12] and for stationary axisymmetric black holes [9]. The method also be applied to calculate quantum entropy due to the electromagnetic field for the Reissner-Nordström black hole [17] and for the general static spherical static black holes [18]. Recently by using the BWM we [19] investigated the effects of spins of the photons and Dirac particles on the entropies of the Kerr-Newman black hole.…”