Thermodynamic geometry of the Garfinkle–Horowitz–Strominger dilaton black hole

doi:10.1088/1674-1056/19/9/090401

Abstract 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.

Keywords: black hole thermodynamic geometry phase transition

Received: 11 January 2010
Revised: 06 February 2010
Accepted manuscript online:

PACS:	0420
	9760L

Fund: Project supported by the Scientific and Technological Foundation of Chongqing Municipal Education Commission of China (Grant No. KJ090731) and the Science Foundation for Youths of Chongqing Technology and Business University of China (Grant No. 0852011).

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Lan Ming-Jian(兰明建), Chen Gang(陈刚), and Han Yi-Wen(韩亦文) Thermodynamic geometry of the Garfinkle–Horowitz–Strominger dilaton black hole 2010 Chin. Phys. B 19 090401

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Thermodynamic geometry of the Garfinkle–Horowitz–Strominger dilaton black hole

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