Rotating Black Branes in the presence of nonlinear electromagnetic field

TL;DR

This paper introduces rotating black brane solutions in a gravity theory with a nonlinear electromagnetic field, analyzing their properties, horizons, and conserved quantities, highlighting effects of nonlinearity on spacetime structure.

Contribution

It presents new rotating black brane solutions with nonlinear electromagnetic fields and explores their physical properties and conserved quantities.

Findings

Solutions include black branes with two horizons, extremal black holes, or naked singularities.

Nonlinear parameter affects asymptotic behavior and spacetime properties.

Nonlinear electromagnetic effects influence electric fields and singularity types.

Abstract

In this paper, we consider a class of gravity whose action represents itself as a sum of the usual Einstein-Hilbert action with cosmological constant and an $U(1)$ gauge field for which the action is given by a power of the Maxwell invariant. We present a class of the rotating black branes with Ricci flat horizon and show that the presented solutions may be interpreted as black brane solutions with two event horizons, extreme black hole and naked singularity provided the parameters of the solutions are chosen suitably. We investigate the properties of the solutions and find that for the special values of the nonlinear parameter, the solutions are not asymptotically anti-deSitter. At last, we obtain the conserved quantities of the rotating black branes and find that the nonlinear source effects on the electric field, the behavior of spacetime, type of singularity and other quantities.