Null geodesics,quasinormal modes,and thermodynamic phase transition for charged black holes in asymptotically flat and dS spacetimes  

作　　者：Shao-Wen Wei Yu-Xiao Liu 魏少文;刘玉孝(Institute of Theoretical Physics&Research Center of Gravitation,Lanzhou University,Lanzhou 730000,China;Department of Physics and Astronomy,University of Waterloo,Waterloo,Ontario,N2L 3G1,Canada)

机构地区：[1]Institute of Theoretical Physics&Research Center of Gravitation,Lanzhou University,Lanzhou 730000,China [2]Department of Physics and Astronomy,University of Waterloo,Waterloo,Ontario,N2L 3G1,Canada

出　　处：《Chinese Physics C》2020年第11期220-231,共12页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11675064,11875151,11522541);the Fundamental Research Funds for the Central Universities(lzujbky-2019-it21);Supported by the Chinese Scholarship Council(CSC)Scholarship(201806185016)to visit the University of Waterloo。

摘　　要：A numerical study has indicated that there exists a relation between the quasinormal modes and the Davies point for a black hole.In this paper,we analytically study this relation for charged Reissner-Nordstrom black holes in asymptotically flat and de Sitter(dS)spacetimes in the eikonal limit,under which the quasinormal modes can be obtained from the null geodesics using the angular velocity Ω and the Lyapunov exponentλof the photon sphere.Both in asymptotically flat and dS spacetimes,we observe spiral-like shapes in the complex quasinormal mode plane.However,the starting point of the shapes does not coincide with the Davies point.Nevertheless,we find a new relation in which the Davies point exactly meets the maximum temperature T in the T-Ω and T-λ planes.In a higher-dimensional asymptotically flat spacetime,although there is no spiral-like shape,such a relation still holds.Therefore,we provide a new relation between black hole thermodynamics and dynamics in the eikonal limit.Applying this relation,we can test the thermodynamic property of a black hole using the quasinormal modes.

关 键 词：black holes phase transition photon sphere 

分 类 号：P145.8[天文地球—天体物理]