High dimensional AdS-like black hole and phase transition in Einstein-bumblebee gravity  

作　　者：丁持坤 石雨 陈骏 周跃兵 刘长青 Chikun Ding;Yu Shi;Jun Chen;Yuebing Zhou;Changqing Liu(Department of Physics,Huaihua University,Huaihua,Hunan 418008,China;Department of Physics,Hunan University of Humanities,Science and Technology,Loudi,Hunan 417000,China;Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China)

机构地区：[1]Department of Physics,Huaihua University,Huaihua,Hunan 418008,China [2]Department of Physics,Hunan University of Humanities,Science and Technology,Loudi,Hunan 417000,China [3]Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China

出　　处：《Chinese Physics C》2023年第4期236-246,共11页中国物理C（英文版）

基　　金：Supported by the Scientific Research Fund of the Hunan Provincial Education Department(19A257 and 19A260);the National Natural Science Foundation(NNSFC)of China(11247013);Hunan Provincial Natural Science Foundation of China(2015JJ2085)。

摘　　要：In this study,we obtained an exact high dimensional anti-de Sitter(AdS)black hole solution in Einsteinbumblebee gravity theory.This AdS-like black hole can only exist with a linear functional potential of the bumblebee field.We found that the Smarr formula and the first law of black hole thermodynamics can still be constructed in this Lorentz symmetry breaking black hole spacetime,but the conceptions of the black hole horizon area/entropy and the volume inside the horizon should be renewed due to its anisotropy.We also found that two types of phase transition exist:small-large black hole phase transition and Hawking-Page phase transition,like those of the Schwarzschild AdS black hole.After Lorentz symmetry breaking,the black hole mass at the divergent point of heat capacity becomes small,and the Gibbs free energy of the meta-stable large black hole is also smaller,showing that the large stable black hole can be more easily formed.

关 键 词：bumblebee field black hole solution first law phase transition 

分 类 号：P145.8[天文地球—天体物理]