Research Of Statistical Origin Of Black Hole Entropy

Researchers have done lots of work in theory and observation, since black hole has been predicted by general relativity; they try to reveal the essence of black hole and the statistical origin of entropy of black hole. In this paper, we mainly study using state density modified to all orders in Planck length from a generalized uncertainty principle to calculate statistical entropy in static black hole space-time.In chapter 1, first of all, we introduce the origin and forming process of black hole, and then we introduce the basic concept and theory of black hole. Lastly we discuss the statistical origin of black hole entropy.In chapter 2, we summarize two models(the Brick-Wall model and Thin-Layer model) to calculate black hole entropy, then we introduce applicable condition of two models, and using the two kinds of models to calculate statistical entropy of scalar field in Schwarzschild space-time and static de Sitter space-time, and obtain that statistical entropy of scalar field near the black hole's horizon is proportional to the horizon area of the black hole, finally we summarize the characteristic of two kinds of model and analysis of the problems encountered.In chapter 3, we firstly introduce the generalized position-momentum uncertainty relation, which leads to a finite minimum uncertainty of position, so the density of quantum states needs to be modified. The number of quantum states is convergent at horizon which is counted by using modification density equation. Finally, we use state density modified to all orders in Planck length to calculate statistical entropies of scalar field in Schwarzschild-de Sitter black hole space-time and Dirac field in Reissner-Nordstrom black hole space-time.