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

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 given by pr(r)=ωr(r)ρ(r) and pt(r)=ωt(r)pr(r). 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 r0, 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 semi-classical 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.