Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field

TL;DR

This paper introduces new charged rotating dilaton black brane solutions coupled with a nonlinear power-law Maxwell field, analyzing their thermodynamics, stability, and causal structure.

Contribution

It presents a novel class of solutions with complete rotation parameters and studies their thermodynamic properties and stability, including effects of dilaton and nonlinearity.

Findings

Solutions are thermally stable for alpha ≤ 1.

Unstable phases can occur for alpha > 1 depending on parameters.

First law of thermodynamics is verified for these black branes.

Abstract

In this paper, we construct a new class of charged rotating dilaton black brane solutions, with complete set of rotation parameters, which is coupled to a nonlinear Maxwell field. The Lagrangian of the matter field has the form of the power-law Maxwell field. We study the causal structure of the spacetime and its physical properties in ample details. We also compute thermodynamic and conserved quantities of the spacetime such as the temperature, entropy, mass, charge, and angular momentum. We find a Smarr-formula for the mass and verify the validity of the first law of thermodynamics on the black brane horizon. Finally, we investigate the thermal stability of solutions in both canonical and grand-canonical ensembles and disclose the effects of dilaton field and nonlinearity of Maxwell field on the thermal stability of the solutions. We find that for $\alpha \leq 1$, charged rotating black brane solutions are thermally stable independent of the values of the other parameters. For $\alpha>1$, the solutions can encounter an unstable phase depending on the metric parameters.