Calculating Statistical Entropy Of Static And Dynamic Black Hole With Non-Cutoff Method

Since the concept of the black hole was proposed, it has already attracted wide concernfrom the physicists. For many years, the theoretical researchers have devoted themselves tostudy the essence of the black hole and the statistical origin of the black hole entropy. Thispaper calculates the statistical entropy of the static and dynamic black holes through a way ofno truncation.The first chapter briefly introduces laws of thermodynamics of black hole and basicconcepts of black hole entropy, and respectively introduces the heating effect of the staticblack holes and location of event horizon of the static black hole. Then this paper brieflyintroduces laws of basic mechanics of the dynamic black holes, the heating effect of thedynamic black holes and the definition of the event horizon of dynamic black hole.The second chapter introduces two models of computing black hole entropy---brick wallmodel and thin layer model, and points out problems in these two models. Brick wall model isonly applicable to the static and steady state black holes, the improved thin layer model canbe used in both static and dynamic calculation of the black hole entropy. Both models need toadopt truncation.In the third chapter the authors calculate statistical entropies of the static and dynamicblack holes with the no-cutoff method. This paper introduces the generalized uncertaintyrelation of position and momentum, makes corrections to the corresponding microscopic statedensity equation and computes the quantum state number of the material field in the externalof black hole which is convergent near the black hole horizon. This paper calculates statisticalentropies of static G-H-S black hole, dynamic Vaidya black hole, dynamic Vaidya-de Sitterblack hole and dynamic Vaidya-Bonner black hole by using index-revised equations of statedensity and doesn’t need truncation. By comparing the mathematical forms of statisticalentropy of dynamic black hole with that of corresponding static black hole, we find that theformer has a more corrected factor which is related with variation rate of black hole horizon.