https://doi.org/10.1140/epjc/s10052-015-3283-2
Regular Article - Theoretical Physics
Thermodynamic instability of topological black holes with nonlinear source
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran
* e-mail: hendi@shirazu.ac.ir
Received:
2
September
2014
Accepted:
16
January
2015
Published online:
4
February
2015
In this paper, we obtain higher dimensional topological black hole solutions of Einstein-
gravity in the presence of a class of nonlinear electrodynamics. First, we calculate the conserved and thermodynamic quantities of (
)-dimensional asymptotically flat solutions and show that they satisfy the first law of thermodynamics. Also, we investigate the stability of these solutions in the (grand) canonical ensemble. Second, we endow a global rotation to the static Ricci-flat solutions and calculate the conserved quantities of solutions by using the counterterm method. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta and the electric charge, and show that these quantities satisfy the first law of thermodynamics. Then, we perform a stability analysis of the rotating solutions both in the canonical and the grand canonical ensembles.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
