Charged dilatonic black holes in gravity’s rainbow

The European Physical Journal C

Mir Faizal¹  B. Eslam Panah²  S. Panahiyan³  S. H. Hendi⁴ 

[1] Department of Physics and Astronomy, University of Waterloo, N2L 3G1, Waterloo, ON, Canada;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), 55134-441, Maragha, Iran;

关键词: Black Hole;    Order Phase Transition;    Ricci Scalar;    Phase Transition Point;    Lorentz Symmetry;   

DOI  :  10.1140/epjc/s10052-016-4119-4

来源: Springer

【 摘 要 】

In this paper, we present charged dilatonic black holes in gravity’s rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity’s rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

【 授权许可】

CC BY