Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics

doi:10.1088/1674-1056/20/11/110404

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110404-110404.doi: 10.1088/1674-1056/20/11/110404

Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics

刘占芳¹, 陈刚², 兰明建³

(1)College of Resource and Environmental Sciences, Chongqing University, Chongqing 400030, China; (2)College of Resource and Environmental Sciences, Chongqing University, Chongqing 400030, China; School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China; (3)School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China

收稿日期:2011-05-17 修回日期:2011-06-02 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11072276) and the Scientific and Technological Foundation of Chongqing Municipal Education Commission, China (Grant No. KJ100706).

Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics

Chen Gang(陈刚)^a)b)^†, Liu Zhan-Fang(刘占芳)^a), and Lan Ming-Jian(兰明建)^b)

^a College of Resource and Environmental Sciences, Chongqing University, Chongqing 400030, China; ^bSchool of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China

Received:2011-05-17 Revised:2011-06-02 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11072276) and the Scientific and Technological Foundation of Chongqing Municipal Education Commission, China (Grant No. KJ100706).

摘要/Abstract

摘要： The thermodynamic properties of a (2 + 1)-dimensional black hole with non-linear electrodynamics from the viewpoint of geometry is studied and some kinds of temperatures of the black hole have been obtained. Weinhold curvature and Ruppeiner curvature are explored as information geometry. Moreover, based on Quevedo's theory, the Legendre invariant geometry is investigated for the black hole. We also study the relationship between the scalar curvatures of the above several metrics and the phase transitions produced from the heat capacity.

关键词: black hole, temperature, thermodynamic geometry, phase transition

Abstract: The thermodynamic properties of a (2 + 1)-dimensional black hole with non-linear electrodynamics from the viewpoint of geometry is studied and some kinds of temperatures of the black hole have been obtained. Weinhold curvature and Ruppeiner curvature are explored as information geometry. Moreover, based on Quevedo's theory, the Legendre invariant geometry is investigated for the black hole. We also study the relationship between the scalar curvatures of the above several metrics and the phase transitions produced from the heat capacity.

Key words: black hole, temperature, 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)

陈刚, 刘占芳, 兰明建. Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics[J]. 中国物理B, 2011, 20(11): 110404-110404.

Chen Gang(陈刚), Liu Zhan-Fang(刘占芳), and Lan Ming-Jian(兰明建) . Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics[J]. Chin. Phys. B, 2011, 20(11): 110404-110404.

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Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics

Thermodynamic and geometric framework of a (2+1)-dimensional black hole with non-linear electrodynamics

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