Charged traversable wormholes supported by Casimir energy with and without GUP corrections

TL;DR

This paper derives exact solutions for charged Casimir wormholes considering GUP effects, analyzing their energy conditions, geometry, and exotic matter content through classical and semiclassical approaches.

Contribution

It introduces new analytic solutions for charged Casimir wormholes with GUP corrections, exploring their energy conditions and geometric properties.

Findings

Classical energy conditions are violated at the wormhole throat.

Asymptotically flat solutions are obtained with electric charge.

Exotic matter content is quantified using volume integral and exoticity parameter.

Abstract

In this paper, we investigate new exact and analytic solutions of the Einstein Maxwell field equations describing Casimir wormholes with and without the effect of the Generalized Uncertainty Principle (GUP). We consider a specific type of the GUP relations and study three specific models of the redshift function along with two different EoS of state. Here we obtain a class of asymptotically flat Casimir wormhole solutions with and without GUP corrections under the effect of electric charge. Furthermore we check the null, weak, strong and dominant energy conditions at the wormhole throat of radius, and show at the wormhole throat that the classical energy conditions are violated by some arbitrary small quantity. We also examine the wormhole geometry with semiclassical corrections by using embedding diagrams. We use the volume integral quantifier to quantify the amount of the exotic matter near the wormhole throat. Additionally, we investigate exotic fluid near WH throat using the so called exoticity parameter and discuss the speed of sound.