https://doi.org/10.1140/epjc/s10052-016-3994-z
Regular Article - Theoretical Physics
Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran
3
Physics Department, Shahid Beheshti University, Tehran, 19839, Iran
* e-mail: hendi@shirazu.ac.ir
Received:
13
November
2015
Accepted:
29
February
2016
Published online:
17
March
2016
Motivated by the violation of Lorentz invariance in quantum gravity, we study black hole solutions in gravity’s rainbow in the context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent spacetime and obtain the related metric functions and electric fields. We show that there is an essential singularity at the origin which is covered by an event horizon. We also compute the conserved and thermodynamical quantities and examine the validity of the first law of thermodynamics in the presence of rainbow functions. Finally, we investigate the thermal stability conditions for these black hole solutions in the context of canonical ensemble. We show that the thermodynamical structure of the solutions depends on the choices of nonlinearity parameters, charge, and energy functions.
© The Author(s), 2016
