Casimir wormhole with GUP correction in extended symmetric teleparallel gravity

Abstract

Quantum mechanical concept such as the Casimir effect is explored to model traversable wormholes in an extended teleparallel gravity theory. The minimal length concept leading to the generalized uncertainty principle (GUP) is used to obtain the Casimir energy density. The effect of the GUP correction in the geometrical and physical properties of traversable Casimir wormholes are investigated. It is noted that the GUP correction has a substantial effect on the wormhole geometry and it modifies the energy condition. From a detailed calculation of the exotic matter content of the GUP corrected Casimir wormhole, it is shown that, a minimal amount of exotic matter is sufficient to support the stability of the wormhole.

14 pages, 7 figures

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• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Szekeres Universes with GUP corrections
• Matter Geometry Coupling and Casimir Wormhole Geometry