Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

The European Physical Journal C

M. Momennia¹  B. Eslam Panah¹  S. Panahiyan²  S. H. Hendi³ 

[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;Physics Department, Shahid Beheshti University, 19839, Tehran, Iran;Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran;

关键词: Black Hole;    Event Horizon;    Black Hole Solution;    Nonlinearity Parameter;    Einstein Gravity;   

DOI  :  10.1140/epjc/s10052-016-3994-z

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY