Magnetic branes in Gauss–Bonnet gravity with nonlinear electrodynamics: correction of magnetic branes in Einstein–Maxwell gravity

Abstract

In this paper, we consider two first order corrections to both the gravity and the gauge sides of the Einstein–Maxwell gravity: Gauss–Bonnet gravity and quadratic Maxwell invariant as corrections. We obtain horizonless magnetic solutions by implying a metric representing a topological defect. We analyze the geometric properties of the solutions and investigate the effects of both corrections, and find that these solutions may be interpreted as magnetic branes. We study the singularity condition and find a nonsingular spacetime with a conical geometry. We also investigate the effects of different parameters on the deficit angle of spacetime near the origin.