Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field

TL;DR

This paper investigates magnetic brane solutions in cubic quasi-topological gravity coupled with Maxwell and Born-Infeld electromagnetic fields, revealing non-singular, horizonless conic geometries influenced by higher curvature parameters.

Contribution

It provides new magnetic brane solutions in cubic quasi-topological gravity with nonlinear electromagnetic fields, analyzing their geometric properties and dependence on higher curvature coefficients.

Findings

Solutions have no curvature singularity or horizons.

The geometry exhibits a conical structure with a deficit angle.

Attributes depend on cubic quasi-topological and Gauss-Bonnet parameters.

Abstract

The main purpose of the present paper is analyzing magnetic brane solutions of cubic quasi-topological gravity in the presence of a linear electromagnetic Maxwell field and a nonlinear electromagnetic Born-Infeld field. We show that the mentioned magnetic solutions have no curvature singularity and also no horizons, but we observe that there is a conic geometry with a related deficit angle. We obtain the metric function and deficit angle and consider their behavior. We show that the attributes of our solution are dependent on cubic quasi-topological coefficient and the Gauss-Bonnet parameter.