Charge rotating black string in gravitating nonlinear electromagnetic fields

TL;DR

This paper constructs new charged rotating black string solutions in anti-de Sitter space coupled with nonlinear electromagnetic fields, analyzing their geometry, thermodynamics, and verifying the first law.

Contribution

Introduces a new class of charged rotating black string solutions with nonlinear electromagnetic fields in AdS space, exploring effects of nonlinearity on geometry and thermodynamics.

Findings

Solutions recover Einstein-Maxwell black strings at large r

Verified the first law of thermodynamics for these solutions

Analyzed geometric effects of nonlinearity parameter

Abstract

We construct a new class of charged rotating black string solutions coupled to a nonlinear electromagnetic field in the background of anti-de Sitter spaces. We consider two types of nonlinear electromagnetic field namely, logarithmic and exponential forms. We investigate the geometric effects of nonlinearity parameter and find that for large $r$, these solutions recover the rotating back string solutions of Einstein-Maxwell theory. We calculate the conserved and thermodynamic quantities of the rotating black string. We also analyze thermodynamics of the spacetime and verify the validity of the first law of thermodynamics for the obtained solutions.