Euler Characteristic and Topological Phase Transition of NUT-Kerr-Newman Black Hole

作     者：YUE Jing-Hua YANG Guo-Hong TIAN Li-Jun ZHU Shu 

作者机构：Department of Physics Shanghai University Shanghai 200444 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第49卷第4期

页      面：941-944页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported in part by National Natural Science Foundation of China under Grant No.10575068 the Natural Science Foundation of Shanghai Municipal Committee of Science and Technology under Grant Nos.04ZR14059 and 04DZ05905 Shanghai Education Development Foundation under Grant No 214675 Shanghai Leading Academic Discipline Project under Grant No.T0104 

主　　题：euler characteristic entropy NUT-Kerr-Newman black hole killing vector field 

摘      要：From the Gauss-Bonnet-Chern theorem, the Euler characteristic of NUT-Kerr-Newman black hole is calculated to be some discrete numbers from 0 to 2. We find that the Bekenstein-Hawking entropy is the largest entropy in topology by taking into account of the relationship between the entropy and the Euler characteristic. The NUT-Kerr- Newman black hole evolves from the torus-like topological structure to the spherical structure with the changes of mass, angular momentum, electric and NUT charges. In this process, the Euler characteristic and the entropy are changed discontinuously, which give the topological aspect of the first-order phase transition of NUT-Kerr-Newman black hole. The corresponding latent heat of the topological phase transition is also obtained. The estimated latent heat of the black hole evolving from the star just lies in the range of the energy of gamma ray bursts.