Thermodynamics of Rotating Lifshitz Dilaton Black Brane in Quartic Quasitopological gravity

TL;DR

This paper explores the thermodynamics of rotating Lifshitz dilaton black branes within quartic quasitopological gravity, deriving key thermodynamic quantities and analyzing their stability, revealing instability under thermal fluctuations.

Contribution

It introduces new rotating Lifshitz dilaton black brane solutions in quartic quasitopological gravity and investigates their thermodynamic properties and stability.

Findings

Thermodynamic quantities satisfy the first law of thermodynamics.

The black branes are thermally unstable.

A Smarr-type relation connects thermodynamic variables.

Abstract

In this paper, we obtain the rotating Lifshitz dilaton black brane solutions in the presence of the quartic quasitopological gravity and then probe the related thermodynamics. At first, we obtain the field equations form which a total constant along the radial coordinate $r$ is deduced. Since we cannot solve the solutions exactly, so we investigate their asymptotic behaviors at the horizon and at the infinity. We attain the conserved and thermodynamic quantities such as temperature, angular velocity, entropy, the energy and the angular momentum densities of the rotating quartic quasitopological Lifshitz dilaton black brane. By evaluating the total constant at the horizon and the infinity, we can make a relation between the thermodynamic quantities and so get to a Smarr-type formula. We demonstrate that the thermodynamic quantities of this rotating black brane obey the first law of the thermodynamics. We also study the thermal stability of the rotating quartic quasitopological Lifshitz dilaton black brane and it is not thermally stable.