Asymptotic Anti-de Sitter Black Hole Based On 5-dimension Membrane Theory

In 5-D relativity,the usual 4-dimensional cosmological constants are determined by extra dimensions.If the extra dimension is empty,we can get a positive cosmological constant ? and a 4-dimensional de Sitter(dS)space.In contrast,in this dissertation we find that if the extra dimension is a class,a negative cosmological constant ? will appear,and the induced 4D space will be an asymptotic Anti-de Sitter(AdS).Under the minimum assumption,we studied the Kaluza-Klein equation RAB=0 of the memory theory in the canonical system,and obtained a universal AdS solution.The results show that an AdS space can be naturally induced on a hyperbola on the Kaluza-Klein manifold.The Lagrangian analysis of the test particle shows that if the 4 dimension gauge is independent of the extra dimension,the particle's equation of motion is a geodesic equation.The proper causality is obtained through the high-dimensional interval of light,so that the causality laws are well respected.In this 5-D theory of relativity,the holographic principle can be safely used because on the brane in bulk,the space is asymptotic to Euclidean AdS.On this basis,we have also explored some possible holographic duality applications for field/operator correspondence and two-point correlation functions.The dissertation is structured as follows.Firstly,a new AdS solution for the Kaluza-Klein equation is given by using the class-time extra dimension.Then we calculate the basic equation of motion by using the Lagrangian method.Then we give a simple application of hologram duality.This dissertation is represented by Wesson's symbol.We absorb the physical basic constants c(light speed),G(gravitational constant),and h(planck constant)into unit 1.At the same time,uppercase Latin letters are used to represent 5-dimensional quantities(A,B=0,1,2,3,4),while 4-dimensional quantities are represented by lowercase Greek letters(?,?=0,1,2,3).If there is a choice between the 4D in the 5D part and the 4D in the traditional definition,we will use the capped symbol to represent the former,and the usual symbol indicates the latter.