Thermodynamics of Rotating Lovelock-Lifshitz Black Branes

Understand

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.