ω-变形的Kaluza-Klein超引力理论中的静态双荷AdS黑洞热力学研究

发布时间：2018-08-06 15:37

【摘要】：黑洞热力学一直是黑洞研究中的一个重要研究领域。根据近期的研究发现,黑洞热力学第一定律在渐近AdS时空需要引入一对新的热力学共轭变量对(X,Y)进行修正。值得一提的是,吕宏等人将(X,Y)解释为对热力学第一定律的修正,而D.D.K.Chow等人则认为热力学第一定律不需要修正,而守恒荷质量是不可积的。本硕士论文将对这类问题进行相关探讨。本论文首先介绍相关研究的背景、方法及意义,接着介绍了黑洞的精确解和黑洞热力学的相关知识,然后介绍一些守恒荷的计算方法,包括Wald的协变相空间方法、ADT(L.F.Abbott,S.Deser,B.Tekin)的线性化引力的方法、Barnich等人提出的上同调方法、Kim等人提出的准局域ADT方法等。在回顾吕宏等人关于Kaluza-Klein理论中的静态双荷球对称AdS黑洞的热力学的工作之后,本文研究在ω-变形的Kaluza-Klein理论中的静态双荷球对称AdS黑洞的热力学,给出了热力学第一定律的修正。然后用Kim等人的方法计算了黑洞的守恒荷,并确信之前计算的修正是精确的。本文还与吕宏等人的工作进行了对比和分析,找出了其中的联系。给出了黑洞热力学第一定律需要修正的情况。最后是本文的总结和展望。
[Abstract]:Black hole thermodynamics has been an important research field in black hole research. According to recent studies, it is found that the first law of black hole thermodynamics needs to introduce a pair of new thermodynamic conjugate variables (XY) to modify the asymptotic AdS spacetime. It is worth mentioning that Lu Hong and others interpreted (XY) as a modification of the first law of thermodynamics, while D.D.K.Chow et al considered that the first law of thermodynamics does not need to be modified, and the conserved charged mass is not integrable. This thesis will discuss this kind of problems. This paper first introduces the background, method and significance of the relevant research, then introduces the exact solution of the black hole and the knowledge of the thermodynamics of the black hole, and then introduces some calculation methods of the conservation charge. The covariant space method of Wald (L.F.Abbottn S. Desert B. Tekin) and the cohomology method proposed by Wald and the quasi-local ADT method proposed by Kim et al. After reviewing the work of Lu Hong and others on the thermodynamics of static double charge spherically symmetric AdS black holes in Kaluza-Klein theory, this paper studies the thermodynamics of static double charge spherically symmetric AdS black holes in 蠅 -deformed Kaluza-Klein theory, and gives the modification of the first law of thermodynamics. Then the conservation charge of black hole is calculated by Kim et al. This paper also compares and analyzes with the work of Lu Hong and others, and finds out the connection among them. The first law of black hole thermodynamics needs to be corrected. The last part is the summary and prospect of this paper.
【学位授予单位】：西华师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：P145.8

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