Entropy Of Reissner-n(?)rdstrom Black Hole With Quintessence In Tunneling Approach And Dirac Quasinormal Modes Of Park Black Hole In Ho(?)ava Gravity

Black hole physics occupies a very important place in modern physics, which is a multidisciplinary cross area with general relativity, quantum mechanics and astrophysics. For one thing, the statistical explanation of the black hole entropy have been the important and “hot-spots” in this field, however, this theme has been puzzled the theoretical physicists along. For another thing, the quasinormal modes can be regarded as‘characteristics sound’ of black hole,the spacetime background parameters can be confirmed by the actual frequency of the oscillation and damping time. At present, the gravitational waves have been detected, on the studying of quasinormal modes could provide the direct evidence of the existence of black holes.This article is divided into three parts. The first part introduces the basic knowledge of the black hole, which includes the evolution of stars, the formation of black holes and astronomical observation, the thermodynamics and entropy of black hole, and the Hawking radiation. The second part discussed the entropy and quantum correction of the Reissner-N(?)rdstrom black hole surrounded by quintessence in tunneling approach. It was found that the black hole entropy are made up of the Hawking entropy of classical and quantum correction terms. The results show that the black hole entropy and horizon area are intrinsically linked, and reveals that the entropy is one of quantum field near the horizon with quantum effect. The third part, the massless Dirac quasinormal modes of the Park black hole in Ho(?)ava gravity are calculated, adopting three-order WKB approximation method, then the influence of the black hole background parameters on plural frequency are discussed. These results help us further understand some properties on the Ho(?)ava gravity. Finally is the conclusion and prospect.