Quasinormal Modes Of Black Hole In The Brane-world

In the last century in 20 s,Kaluza and Klein unify the gravitational field and electromagnetic filed using the five dimensional manifold,great progress has been made since the theory was put forward.But there are many problems(such as rank problem).Later,the ADD model and the RS double film model are proposed to solve the problem of the scale of the weak energy and gravitational energy.Braneworld model is one of the hot topics in theoretical physics.The scale of the black hole is known as the “characteristic sound” of the black hole,which is the second stage in the evolution of the perturbation field.The quasi positive scale is only related to the background parameters of the black hole,and is independent of the initial perturbation.The study of quasi scale is of great significance to the stability of black hole and the detection of black hole.This paper is divided into four parts: in the first part,we briefly introduce the evolution of stars,the formation and development of black hole theory.In the second part,we introduce the basic principle of the high dimensional theory and the membrane world model.In the higher dimensional theory of K-K,the extra dimension is compact or curly,and the universe we observe is out of the extra spatial dimensions.The film world model points out that the material world we live in is a three-dimensional hypersurface which is embedded in a higher dimensional bulk space.In the standard model,the particles are confined to the membrane,while gravity can be propagated in bulk.Then,in the third chapter,the entropy of black hole and its thermodynamic properties are given.The fourth part is the focus of this article.On the basis of previous work,we use the three order WKB approximation method to calculate the positive scale frequency of the massless Dirac field of the black hole in the film world model.Based on the numerical results,the relationship between the complex frequency and the background parameters of the black hole in the film world model is analyzed.The last part is the conclusion and Prospect of this paper.