摘要
The extensivity for the thermodynamics of general D-dimensional rotating black holes with or without a cosmological constant can be proved analytically,provided that the effective number of microscopic degrees of freedom and the chemical potential are given respectively as N=L^(D−2)/G,μ=GTI_(D)/L^(D−2),where G is the variable Newton constant,I_(D) is the Euclidean action,and L is a constant length scale.In the cases without a cosmological constant,i.e.,the Myers-Perry black holes,the physical mass and the intensive variables can be expressed as explicit macro state functions in the extensive variables in a simple and compact form,which allows for an analytical calculation of the heat capacity.The results indicate that the Myers-Perry black holes with zero,one,and k equal rotation parameters are all thermodynamically unstable.
作者
Liu Zhao
赵柳(School of Physics,Nankai University,Tianjin 300071,China)
基金
Supported by the National Natural Science Foundation of China(11575088)。
