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thermodynamic geometry of the Garfinkle-Horowitz-Strominger dilaton black hole

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Chinese Physics B 2010年第9期19卷 191-195页

作者：兰明建陈刚韩亦文 College of Computer Science Chongqing Technology and Business University

This paper studies the thermodynamic properties of the Garfinkle Horowitz Strominger dilaton black hole from the viewpoint of geometry. It calculates the heat capacity and the temperature of the black hole, Weinhold metric and Ruppeiner metric are also obtained respectively. It finds that they are both curved and the scalar curvature of the Weinhold geometry consists with the first-order transition point reproduced from the capacity, while the Ruppeiner one is both in accordance with the first-order and the second-order phase transition points reproduced from the capacity.

关键词： black hole thermodynamic geometry phase transition

Temperature and thermodynamic geometry of the Kerr-Sen black hole

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Chinese Physics B 2011年第2期20卷 88-92页

作者：兰明建 College of Computer Science Chongqing Technology and Business University

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.

关键词： black hole thermodynamic geometry phase transition

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

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Chinese Physics B 2011年第11期20卷 116-121页

作者：陈刚刘占芳兰明建 College of Resource and Environmental Sciences Chongqing University School of Computer Science and Information Engineering Chongqing Technology and Business University

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