Wormholes in the Non-minimally Coupled Gravity with Electromagnetism

Abstract

Since the general relativistic approach requires exotic matter with negative energy density, constructing wormholes containing realistic matter is a crucial challenge. Therefore, extending General Relativity to non-minimal cases may be an alternative option. In this paper, we investigate wormholes which are supported by the non-minimally coupled electromagnetic fields to gravity in $Y(R)F^2$ form where $F^2$ is the Maxwell invariant and $Y(R)$ is a function of the Ricci scalar $R$. We consider both electrically and magnetically charged cases. Then we give some exact asymptotically AdS/dS and flat solutions for traversable wormhole geometries. By discussing whether these obtained geometries satisfy the energy conditions and vanishing sound speed condition, we determine stable solutions containing realistic matter for some parameter values.

23 pages

References in corpus (30)

• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Modified-gravity wormholes without exotic matter
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Wormholes supported by hybrid metric-Palatini gravity
• Wormholes as Black Hole Foils
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Generalized energy conditions in Extended Theories of Gravity
• Stability of Chaplygin gas thin-shell wormholes
• Large-scale magnetic fields in the inflationary universe
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• New asymptotically flat phantom wormhole solutions
• General relativistic Poynting-Robertson effect to diagnose wormholes existence: static and spherically symmetric case
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Generating functions of wormholes
• Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
• The Covariant Description of Electromagnetically Polarizable Media
• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• Effects of Variable Equations of State on the Stability of Nonlinear Electrodynamics Thin-Shell Wormholes
• Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity