Thermodynamic analysis of topological black holes in Gauss–Bonnet gravity with nonlinear source

The European Physical Journal C

E. Mahmoudi¹  S. Panahiyan¹  S. H. Hendi² 

[1] Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran;

关键词: Black Hole;    Black Hole Solution;    Nonlinearity Parameter;    Rotation Parameter;    Horizon Radius;   

DOI  :  10.1140/epjc/s10052-014-3079-9

来源: Springer

【 摘 要 】

Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss–Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We investigate the thermodynamic properties of the asymptotically flat black holes and also asymptotically adS solutions. Using a suitable local transformation, we generalize static horizon-flat solutions to rotating ones. We discuss their conserved and thermodynamic quantities as well as the first law of thermodynamics. Finally, we calculate the heat capacity of the solutions to obtain a constraint on the horizon radius of stable solutions.

【 授权许可】

CC BY