用无截断方法计算静态和动态黑洞统计熵

发布时间：2018-10-11 12:45

【摘要】：自从黑洞概念被提出之后，有关黑洞和黑洞熵的研究被物理学家广泛关注。多年来，理论研究者们致力于黑洞的本质及黑洞熵的统计起源的研究。本文主要采用无截断方法计算静态和动态黑洞统计熵。第一章简要介绍黑洞热力学定律和黑洞熵的基本概念，分别介绍静态黑洞的热效应和静态黑洞事件视界的确定。还介绍了动态黑洞的基本力学定律、动态黑洞的热效应和动态黑洞事件视界的定义。第二章介绍两种计算黑洞熵的模型—“砖墙模型”和“薄层模型”，指出了两种模型所存在的不足。“砖墙模型”只能适用于静态和稳态黑洞，“薄层模型”可以适用于各种静态和动态黑洞熵的计算。但都需要采用截断。在第三章中，作者应用无截断方法计算了静态黑洞和动态黑洞的统计熵。首先介绍了位置与动量的广义测不准关系，对相应的微观状态态密度方程作出修正，，应用指数修正的态密度方程得到的黑洞外物质场的量子态数在视界处是收敛的；最后用指数修正的态密度方程计算静态G-H-S黑洞、动态Vaidya黑洞、动态Vaidya-de Sitter黑洞和动态Vaidya-Bonner黑洞的统计力学熵，不需要采取截断。对比动态黑洞统计熵和静态黑洞统计熵的数学形式，可以看出，动态黑洞统计熵比起相对应的静态黑洞统计熵多出一个与视界变化率有关的修正因子。
[Abstract]:Since the concept of black hole was put forward, the study of black hole and black hole entropy has been paid more and more attention by physicists. For many years, theoretical researchers have focused on the nature of black holes and the statistical origin of black hole entropy. In this paper, the statistical entropy of static and dynamic black holes is calculated by means of no truncation method. In the first chapter, the thermodynamic law of black hole and the basic concept of black hole entropy are briefly introduced. The thermal effect of static black hole and the determination of event horizon of static black hole are introduced respectively. The basic mechanics law of dynamic black hole, the thermal effect of dynamic black hole and the definition of event horizon of dynamic black hole are also introduced. In chapter 2, two models for calculating black hole entropy, brick wall model and thin layer model, are introduced, and the shortcomings of the two models are pointed out. The "brick wall model" can only be applied to static and steady black holes, and the "thin layer model" can be used to calculate the entropy of all kinds of static and dynamic black holes. But both need to be truncated. In chapter 3, the statistical entropy of static and dynamic black holes is calculated by using the untruncated method. Firstly, the generalized uncertainty relation between position and momentum is introduced, and the corresponding microcosmic state density equation is modified. The quantum state number of the matter field outside the black hole obtained by the exponential modified state density equation is convergent at the horizon. Finally, the statistical mechanical entropy of static G-H-S black hole, dynamic Vaidya black hole, dynamic Vaidya-de Sitter black hole and dynamic Vaidya-Bonner black hole is calculated by exponentially modified density of states equation, and no truncation is required. By comparing the statistical entropy of the dynamic black hole with the statistical entropy of the static black hole, it can be seen that the statistical entropy of the dynamic black hole is a correction factor related to the change rate of the event horizon compared with the corresponding statistical entropy of the static black hole.
【学位授予单位】：湖南科技大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：P145.8

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