Casimir Wormholes with GUP Correction in the Loop Quantum Cosmology

TL;DR

This paper presents new traversable wormhole solutions influenced by Casimir effects and GUP corrections within Loop Quantum Cosmology, analyzing their stability, energy conditions, and the amount of exotic matter needed.

Contribution

It introduces novel wormhole solutions incorporating GUP corrections in LQC, exploring their physical properties and conditions for traversability and stability.

Findings

Wormhole solutions are traversable and stable under certain conditions.

The amount of exotic matter required is quantified and minimized.

Conditions for the wormhole to be visible or hidden by an event horizon are established.

Abstract

In this paper, we obtain novel traversable, static, and spherically symmetric wormhole solutions, derived from the effective energy density and isotropic pressure resulting from the Casimir effect, corrected by the Generalized Uncertainty Principle (GUP) within the framework of Loop Quantum Cosmology (LQC). The goal is to explore the interplay between competing quantum gravity effects and quantum vacuum phenomena in the emergence of non-trivial spacetime structures. We examine features such as traversability, embedding diagrams, energy conditions, curvature, and stability of the obtained solutions. Additionally, we analyze the junction conditions required to integrate the wormhole spacetime with an external Schwarzschild spacetime and calculate the amount of exotic matter needed to maintain the wormhole. Finally, we evaluate the conditions under which this latter remains visible or is hidden by the event horizon associated with the Schwarzschild spacetime.