Thermodynamics of Rotating Lovelock-Lifshitz Black Branes

Abstract

We investigate the thermodynamics of rotating Lovelock-Lifshitz black branes. We calculate the conserved and thermodynamic quantities of the solutions and obtain a relation between temperature, angular velocity, energy density, entropy density and angular momentum density. We, also, obtain a Smarr-type formula for the energy density as a function of entropy and angular momentum densities, and show that the thermodynamic quantities calculated in this paper satisfy the first law of thermodynamics. Finally, we investigate the stability of black brane solutions in both canonical and grand-canonical ensemble. We find that the solutions are thermally stable for the solutions with $z\le n-1$, while they can be unstable for $z>n-1$.

15 pages, Latex, A few references added, typos fixed

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• Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
• Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
• Lovelock Thin-Shell Wormholes
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Thermodynamics of nonlinear charged Lifshitz black branes with hyperscaling violation
• Black Hole Chemistry: the first 15 years
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• Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions
• Thermodynamics of Gauss-Bonnet-Dilaton Lifshitz Black Branes
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
• Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes