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

TL;DR

This paper constructs and analyzes charged static wormhole solutions in 4D Einstein-Gauss-Bonnet gravity, examining energy conditions, stability, and semiclassical effects to understand their physical viability.

Contribution

It presents new exact charged wormhole solutions in 4D EGB gravity with anisotropic matter and semiclassical corrections, extending previous models by including charge effects.

Findings

Energy conditions are violated at the throat but only slightly.

Wormholes are in equilibrium due to force balance.

Solutions incorporate charge and semiclassical effects.

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.