Casimir Wormholes inspired by Electric Charge in Einstein Gauss-Bonnet gravity

Abstract

This investigation assesses the feasibility of a traversable wormhole (WH) by examining the energy densities associated with charged Casimir phenomena. We focus on the influence of the electromagnetic field created by an electric charge as well as the negative energy density arising from the Casimir source. We have developed different shape functions by defining energy densities from this combination. This paper explores various configurations of Casimir energy densities, specifically those occurring between parallel plates, cylinders, and spheres positioned at a specified distance from each other. Furthermore, the impact of the Generalised Uncertainty Principle (GUP) correction is also examined. The behavior of WH conditions is evaluated based on Gauss-Bonnet (GB) coupled parameter ($\mu$) and electric charge ($Q$). Though the electromagnetic energy density constraint (NEC). This is attributed with the fact that the electromagnetic field satisfies the characteristic that is $\rho=-p_{r}$. Subsequently, we examined the active gravitational mass (AGM) of the generated WH geometries and explored the behavior of $\mu$ and $Q$ concerning active mass. The embedding representations for all formulated shape functions are examined. Investigations of the complexity factor (CF) of CCWH have demonstrated that the values of the CF consistently fall within a particular range in all scenarios. Finally, using the generalized Tolman Oppenheimer Volkoff (TOV) equation, we examine the stability of resulting charged Casimir wormhole (CCWH) solutions.