Chen, SB (reprint author), Hunan Normal Univ, Inst Phys, Changsha 410081, Hunan, Peoples R China.
We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the classical Bekenstein-Hawking term in the black hole entropy. The corrected classical Bekenstein-Hawking entropy is not one quarter of the event horizon area of the original background black hole, but of a corresponding effective metric related to the coupling. It means that the classical Bekenstein-Hawking entropy depends not only on the black hole parameter, but also on the coupling which reduces Lorentz violation. (C) 2015 The Authors. Published by Elsevier B.V.
National Natural Science Foundation of China [11275065, 11475061]
; construct program of the National Key Discipline
; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences [Y5KF161CJ1]