Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity

Abstract

In the present work, we construct models of static wormholes within the framework of 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the wormhole geometry assuming a constant redshift function. We obtain exact spherically symmetric wormhole solutions in 4D EGB gravity for an isotropic and anisotropic matter sources under the effect of electric charge. The solutions are more generalized in the sense of incorporating the charge contributions. Furthermore, we examine the null, weak and strong energy conditions at the wormhole throat of radius $r=r_0$. We demonstrate that at the wormhole throat, the classical energy conditions are violated by arbitrary small amount. Additionally, we analyze the wormhole geometry incorporating semiclassical corrections through embedding diagrams. We discover that the wormhole solutions are in equilibrium as the anisotropic and hydrostatic forces cancel each other.

V3: 20 pages, typos corrected, references added

References in corpus (19)

• Modified-gravity wormholes without exotic matter
• Wormholes supported by hybrid metric-Palatini gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• 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
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Epicyclic frequencies in static and spherically symmetric wormhole geometries
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Epicyclic frequencies in the equatorial plane around stationary and axially symmetric wormhole geometries
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Traversable wormholes with double layer thin shells in quadratic gravity