Black string solutions in Lifshitz spacetime

TL;DR

This paper constructs and analyzes new charged black string solutions in Lifshitz spacetime, revealing their thermodynamic stability and dependence on Lifshitz exponent and gauge fields.

Contribution

It introduces a new class of asymptotically Lifshitz black string solutions with multiple gauge fields, extending previous models and analyzing their thermodynamic properties.

Findings

New charged Lifshitz black string solutions are found.

Solutions are thermodynamically stable based on temperature, entropy, and heat capacity.

Multiple gauge fields are necessary to incorporate electric charge.

Abstract

In this paper we study black string solutions considering the Lifshitz anisotropic scaling. We have shown that a new class of asymptotically Lifshitz solutions can be generated by an Einstein-Maxwell-Dilaton theory with a cosmological constant. In the limit where we recover conformal scale invariance, we retrieve the usual black string solution. Furthermore, we demonstrated that to incorporate the effects of electric charge in the black string, at least two independent gauge fields coupled to the dilaton field are necessary. The charged black string solution exhibits new horizons that depend on the potential in Lifshitz exponent $z$. The stability of these new solutions is investigated through the thermodynamic analysis of the charged black string. The temperature, entropy, and heat capacity indicate that these modified black strings are thermodynamically stable.