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.
