Temperature and thermodynamic geometry of the Kerr–Sen black hole

doi:10.1088/1674-1056/20/2/020404

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20404-020404.doi: 10.1088/1674-1056/20/2/020404

Temperature and thermodynamic geometry of the Kerr–Sen black hole

兰明建

College of Computer Science, Chongqing Technology and Business University, Chongqing 400067, China

收稿日期:2010-08-10 修回日期:2010-08-31 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the Scientific and Technological Foundation of Chongqing Municipal Education Commission of China (Grant Nos. KJ 090731 and KJ100706).

Temperature and thermodynamic geometry of the Kerr–Sen black hole

Lan Ming-Jian(兰明建)^†

College of Computer Science, Chongqing Technology and Business University, Chongqing 400067, China

Received:2010-08-10 Revised:2010-08-31 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the Scientific and Technological Foundation of Chongqing Municipal Education Commission of China (Grant Nos. KJ 090731 and KJ100706).

摘要/Abstract

摘要： This paper studies the thermodynamic properties of the Kerr--Sen black hole from the viewpoint of geometry. It calculates the temperature and heat capacity of the black hole, Weinhold metric and Ruppeiner metric are also obtained respectively. It finds that they are both curved and the curvature scalar of Weinhold curvature implies no information about the phase transition while the Ruppeiner one does. But they both carry no information about the second-order phase transition point reproduced from the capacity. Besides, the Legendre invariant metric of the Kerr--Sen black hole has been discussed and its scalar curvature gives the information about the second-order phase transition point.

Abstract: This paper studies the thermodynamic properties of the Kerr–Sen black hole from the viewpoint of geometry. It calculates the temperature and heat capacity of the black hole, Weinhold metric and Ruppeiner metric are also obtained respectively. It finds that they are both curved and the curvature scalar of Weinhold curvature implies no information about the phase transition while the Ruppeiner one does. But they both carry no information about the second-order phase transition point reproduced from the capacity. Besides, the Legendre invariant metric of the Kerr–Sen black hole has been discussed and its scalar curvature gives the information about the second-order phase transition point.

Key words: black hole, thermodynamic geometry, phase transition

中图分类号: (Quantum aspects of black holes, evaporation, thermodynamics)

04.70.Dy

04.20.-q (Classical general relativity)

兰明建. Temperature and thermodynamic geometry of the Kerr–Sen black hole[J]. 中国物理B, 2011, 20(2): 20404-020404.

Lan Ming-Jian(兰明建). Temperature and thermodynamic geometry of the Kerr–Sen black hole[J]. Chin. Phys. B, 2011, 20(2): 20404-020404.

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Temperature and thermodynamic geometry of the Kerr–Sen black hole

Temperature and thermodynamic geometry of the Kerr–Sen black hole

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