Second order phase transition and thermodynamic geometry in Kerr-AdS black holes

被引:113
作者
Banerjee, Rabin [1 ]
Modak, Sujoy Kumar [1 ]
Samanta, Saurav [2 ]
机构
[1] SN Bose Natl Ctr Basic Sci, Sect 3, Kolkata 700098, India
[2] Narasinha Dutt Coll, Howrah 711101, India
来源
PHYSICAL REVIEW D | 2011年 / 84卷 / 06期
关键词
EQUILIBRIUM THERMODYNAMICS; FLUCTUATION THEORY; CRITICAL-BEHAVIOR; METRIC GEOMETRY; SECOND LAW; SPACE; ENTROPY;
D O I
10.1103/PhysRevD.84.064024
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss a scheme based on Ehrenfest-like equations to exhibit and classify transitions between two phases (with "smaller'' and "larger'' masses) of Kerr-AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally, we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach.
引用
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页数:8
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共 43 条
[31]   Phase transition between non-extremal and extremal Reissner-Nordstrom black holes [J].
Myung, Yun Soo .
MODERN PHYSICS LETTERS A, 2008, 23 (09) :667-676
[32]   Geometrothermodynamics of black holes [J].
Quevedo, Hernando .
GENERAL RELATIVITY AND GRAVITATION, 2008, 40 (05) :971-984
[33]   RIEMANNIAN GEOMETRY IN THERMODYNAMIC FLUCTUATION THEORY [J].
RUPPEINER, G .
REVIEWS OF MODERN PHYSICS, 1995, 67 (03) :605-659
[34]   Riemannian geometry in thermodynamic fluctuation theory (vol 67, pg 605, 1995) [J].
Ruppeiner, G .
REVIEWS OF MODERN PHYSICS, 1996, 68 (01) :313-313
[35]   THERMODYNAMIC CRITICAL FLUCTUATION THEORY [J].
RUPPEINER, G .
PHYSICAL REVIEW LETTERS, 1983, 50 (05) :287-290
[36]   Stability and fluctuations in black hole thermodynamics [J].
Ruppeiner, George .
PHYSICAL REVIEW D, 2007, 75 (02)
[37]   Thermodynamic curvature and phase transitions in Kerr-Newman black holes [J].
Ruppeiner, George .
PHYSICAL REVIEW D, 2008, 78 (02)
[38]   Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes [J].
Sahay, Anurag ;
Sarkar, Tapobrata ;
Sengupta, Gautam .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04)
[39]  
Sarkar T, 2006, J HIGH ENERGY PHYS
[40]   Thermodynamic geometry and critical behavior of black holes [J].
Shen, Jianyong ;
Cai, Rong-Gen ;
Wang, Bin ;
Su, Ru-Keng .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22 (01) :11-27