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

TL;DR

This paper explores horizonless magnetic solutions in Einstein-Maxwell gravity with first-order Gauss-Bonnet and quadratic Maxwell corrections, revealing nonsingular spacetimes with conical geometry and analyzing parameter effects on the deficit angle.

Contribution

It introduces new magnetic brane solutions incorporating Gauss-Bonnet and quadratic Maxwell corrections, extending previous Einstein-Maxwell models.

Findings

Solutions are nonsingular with conical geometry.

Corrections influence the deficit angle near the origin.

Parameters affect the geometric and physical properties of the solutions.

Abstract

In this paper, we are considering two first order corrections to both gravity and 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 which 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 the 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 deficit angle of spacetime near the origin.