Temperature and thermodynamic geometry of the Kerr–Sen black hole

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

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.

Keywords: black hole thermodynamic geometry phase transition

Received: 10 August 2010
Revised: 31 August 2010
Accepted manuscript online:

PACS:	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	04.20.-q	(Classical general relativity)

Fund: Project supported by the Scientific and Technological Foundation of Chongqing Municipal Education Commission of China (Grant Nos. KJ 090731 and KJ100706).

Cite this article:

Lan Ming-Jian(兰明建) Temperature and thermodynamic geometry of the Kerr–Sen black hole 2011 Chin. Phys. B 20 020404

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Temperature and thermodynamic geometry of the Kerr–Sen black hole

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