P–V Criticality of an AdS Black Hole in f(R) Gravity

doi:10.1088/0256-307X/30/6/060401

Chin. Phys. Lett.

2013, Vol. 30

Issue (6): 060401 DOI: 10.1088/0256-307X/30/6/060401

GENERAL

P–V Criticality of an AdS Black Hole in f(R) Gravity

CHEN Song-Bai^**, LIU Xiao-Fang, LIU Chang-Qing

¹Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081
²Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Ministry of Education, Hunan Normal University, Changsha 410081

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CHEN Song-Bai, LIU Xiao-Fang, LIU Chang-Qing 2013 Chin. Phys. Lett. 30 060401

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Abstract We study the thermodynamics of a charged AdS black hole in the special f(R) correction with the constant Ricci scalar curvature. Our results show that the f(R) correction influences the Gibbs free energy and the phase transition of system. The ratio ρ_c occurring at the critical point increases monotonically with the derivative term f'(R₀). We also disclose that the critical exponents are the same as those of the liquid-gas phase transition in the van der Waals model, which does not depend on the f(R) correction considered here.

Received: 25 March 2013 Published: 31 May 2013

PACS:	04.70.-s	(Physics of black holes)
	95.30.Sf	(Relativity and gravitation)
	05.70.Ce	(Thermodynamic functions and equations of state)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/6/060401 OR https://cpl.iphy.ac.cn/Y2013/V30/I6/060401

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