Eur. Phys. J. C (2014) 74: 3074
https://doi.org/10.1140/epjc/s10052-014-3074-1

Regular Article - Theoretical Physics

Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions

¹ School of Physics, Nankai University, Tianjin, 300071, China
² School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China

^* e-mail: physicshx@gmail.com

Received: 24 June 2014
Accepted: 11 September 2014
Published online: 23 September 2014

Abstract

Treating the cosmological constant as thermodynamic pressure and its conjugate as thermodynamic volume, we investigate the critical behavior of the third-order Lovelock black holes in diverse dimensions. For black hole horizons with different normalized sectional curvature , the corresponding critical behaviors differ drastically. For , there is no critical point in the extended thermodynamic phase space. For , there is a single critical point in any dimension , and for , there is a single critical point in dimensions and two critical points in 8, 9, 10, 11 dimensions. We studied the corresponding phase structures in all possible cases.