Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
arXiv:1702.02431 · doi:10.1016/j.nuclphysb.2016.10.022
Abstract
In this paper, we combine Lovelock gravity with gravity's rainbow to construct Lovelock gravity's rainbow. Considering the Lovelock gravity's rainbow coupled to linear and also nonlinear electromagnetic gauge fields, we present two new classes of topological black hole solutions. We compute conserved and thermodynamic quantities of these black holes (such as temperature, entropy, electric potential, charge and mass) and show that these quantities satisfy the first law of thermodynamics. In order to study the thermal stability in canonical ensemble, we calculate the heat capacity and determinant of the Hessian matrix and show in what regions there are thermally stable phases for black holes. Also, we discuss the dependence of thermodynamic behavior and thermal stability of black holes on rainbow functions. Finally, we investigate the critical behavior of black holes in the extended phase space and study their interesting properties.
17 pages, published in Nucl Phys B
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Cited by in corpus (4)
- Deformed Starobinsky model in gravity's rainbow
- Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
- Inflation from theories in gravity's rainbow
- Entropy of higher-dimensional topological dS black holes with nonlinear source