Thermodynamics of third-order Lovelock-AdS black holes in the presence of Born-Infeld type nonlinear electrodynamics

S. H. Hendi and A. Dehghani
Phys. Rev. D 91, 064045 – Published 20 March 2015

Abstract

In this paper, we obtain topological black hole solutions of third-order Lovelock gravity coupled with two classes of Born-Infeld-type nonlinear electrodynamics with anti–de Sitter asymptotic structure. We investigate geometric and thermodynamics properties of the solutions and obtain conserved quantities of the black holes. We examine the first law of thermodynamics and find that the conserved and thermodynamic quantities of the black hole solutions satisfy the first law of thermodynamics. Finally, we calculate the heat capacity and determinant of the Hessian matrix to evaluate thermal stability in both canonical and grand canonical ensembles. Moreover, we consider the extended phase space thermodynamics to obtain a generalized first law of thermodynamics as well as the extended Smarr formula.

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  • Received 23 October 2014

DOI:https://doi.org/10.1103/PhysRevD.91.064045

© 2015 American Physical Society

Authors & Affiliations

S. H. Hendi1,2,* and A. Dehghani1

  • 1Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • 2Center for Excellence in Astronomy & Astrophysics of Iran (CEAAI-RIAAM), P.O. Box 55134-441, Maragha, Iran

  • *hendi@shirazu.ac.ir

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Vol. 91, Iss. 6 — 15 March 2015

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