Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics

TL;DR

This paper constructs and analyzes charged rotating dilaton black brane solutions with logarithmic nonlinear electrodynamics, exploring their thermodynamic properties, stability, and the effects of various parameters in arbitrary dimensions.

Contribution

It introduces a new class of black brane solutions with unique asymptotic behavior and investigates their thermodynamics and stability in detail.

Findings

Solutions are thermally stable for dilaton coupling <1.

Presence of rotation and nonlinearity affects stability conditions.

First law of thermodynamics is verified for these black branes.

Abstract

We construct a new class of charged rotating black brane solutions in the presence of logarithmic nonlinear electrodynamics with complete set of the rotation parameters in arbitrary dimensions. The topology of the horizon of these rotating black branes are flat, while, due to the presence of the dilaton field the asymptotic behaviour of them are neither flat nor (anti)-de Sitter [(A)dS]. We investigate the physical properties of the solutions. The mass and angular momentum of the spacetime are obtained by using the counterterm method inspired by AdS/CFT correspondence. We derive temperature, electric potential and entropy associated with the horizon and check the validity of the first law of thermodynamics on the black brane horizon. We study thermal stability of the solutions in both canonical and grand canonical ensemble and disclose the effects of the rotation parameter, nonlinearity of electrodynamics and dilaton field on the thermal stability conditions. We find the solutions are thermally stable for $\alpha<1$, while for $\alpha>1$ the solutions may encounter an unstable phase where $\alpha$ is dilaton-electromagnetic coupling constant.