Phase transition in modified thermodynamics of Kerr-AdS black holes  

作　　者：Qin Liu Xiaoning Wu Xiao Zhang 刘琴;吴小宁;张晓(School of Physical Science and Technology,Guangxi University,Nanning 530004,China;Guangxi Center for Mathematical Research,Guangxi University,Nanning 530004,China;Institute of Mathematics,Academy of Mathematics and Systems Science and Hua Loo-Keng Laboratory,Chinese Academy of Sciences,Beijing 100190,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]School of Physical Science and Technology,Guangxi University,Nanning 530004,China [2]Guangxi Center for Mathematical Research,Guangxi University,Nanning 530004,China [3]Institute of Mathematics,Academy of Mathematics and Systems Science and Hua Loo-Keng Laboratory,Chinese Academy of Sciences,Beijing 100190,China [4]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Chinese Physics C》2025年第1期350-358,共9页中国物理C(英文版)

基　　金：Supported by the Special Foundation for Guangxi Ba Gui Scholars and Junwu Scholars of Guangxi University;supported by the National Natural Science Foundation of China(12275350)。

摘　　要：In this study,we investigate the critical phenomena of Kerr-AdS black holes under the modified first law of thermodynamics.Specifically,we considered modified black hole thermodynamics that exhibit a van der Waalslike phase structure.All critical exponents were calculated,and then,a swallowtail diagram of free energy was plotted.Comparing with existing results,the main difference is the correspondence between the thermal quantities of Kerr-AdS black holes and the van der Waals system.In a previous study[Y.D.Tsai,X.N.Wu,and Y.Yang,Phys.Rev.D 85044005(2012)],the correspondence was(Ω_(H),J)→(V,P),while in our study,the correspondence was(J,Ω_(H))→(V,P).This difference was owing to the rotating effect.The modified black hole thermodynamics were associated with rotating observers.The free energy in such a reference contains extra rotating energy,which induces a Legendre transformation in the(Ω_(H),J)cross-section,causing the difference in correspondence.

关 键 词：Kerr-AdS black hole black hole thermodynamics phase transition of black hole 

分 类 号：P145.8[天文地球—天体物理]