Greybody Factor And Quasinormal Modes For Dirac Field In Ho(?)ava-Lifshitz Black Hole

As a very special celestial body, black hole is always an important research object in the general relativity and quantum gravity theory. As an intersectional field of the general theory of relativity, string theory, quantum gravity theory,thermodynamics and statistical physics, the black hole physics has a very important position. Over the past years, a lot of the theoretical physicists focus their attention on the black hole physics. This paper is devoted to investigating the propagation and evolution,greybody factor, absorption cross section and quasinormal modes for Ho(?)ava-Lifshit black hole which is hopeful model for quantization of gravity in small scale. Our results are listed as follows:Firstly, as we all known, four dimensional Ho(?)ava-Lifshit black hole is a black hole solution which imposing the traceless condition to Maxwell’s energy momentum tensor. We investigate the propagation and evolution for a massless dirac field in the background of Ho(?)ava-Lifshit black hole. We fortunately obtain an exact solution for the Dirac equation which is valid in all space.Secondly, we series expand the exact solution for the Dirac equation in the far-region and the near horizon region and obtain the ingoing flux and outgoing flux. Then we obtain the analytical expression for the reflection and transmission coefficients and the absorption cross section. According these expressions, we find they are related to ?ω and?L and the analytical expression is valid for any frequency.Lastly, we calculate the Quasinormal modes(QNMs) for Ho(?)ava-Lifshit black hole for the dirac field, and find it is a variable which is related to the?L, n and spin coefficients s. These modes are purely damped modes which may be caused by its over-damped potential, and these purely damped modes show that this spacetime is very stable.All of these can help us to understand more about the Ho(?)ava-Lifshitz gravity.