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

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.

10 pages with 9 figures

References in corpus (23)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy and dark matter as curvature effects
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Asymptotic charged BTZ black hole solutions
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Shear Viscosity from Effective Couplings of Gravitons
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• If Gauss-Bonnet interaction plays the role of dark energy
• Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics
• Causal Structures in Gauss-Bonnet gravity
• Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity
• Domain Walls As Probes Of Gravity
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Thermodynamic instability of topological black holes with nonlinear source
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Asymptotically anti-de Sitter cylindrical thin-shell wormholes
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Gauss-Bonnet braneworld cosmological effect on relic density of dark matter

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• Geometrical thermodynamics and P-V criticality of the black holes with power-law Maxwell field
• Dilaton black holes with power law electrodynamics
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Higher order gravities and the Strong Equivalence Principle
• Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field