Quantum Corrected Schwarzschild Thin Shell Wormhole

TL;DR

This paper constructs a quantum corrected Schwarzschild thin shell wormhole and analyzes its stability, showing that quantum effects influence the stability conditions and the nature of exotic matter required.

Contribution

It introduces a quantum corrected Schwarzschild wormhole model and investigates its stability under various exotic matter conditions, incorporating quantum effects into wormhole physics.

Findings

Quantum corrections affect the stability domain of the wormhole.

Exotic matter like phantom-energy and GCG are necessary at the throat.

Quantum effects influence the stability conditions of the wormhole.

Abstract

Recently, Ali and Khalil \cite{Farag Ali}, based on the Bohmian quantum mechanics derived a quantum corrected version of the Schwarzschild metric. In this paper, we construct a quantum corrected Schwarzschild thin shell wormhole (QSTSW) and investigate the stability of this wormhole. First we compute the surface stress at the wormhole throat by applying the Darmois-Israel formalism to the modified Schwarzschild metric and show that exotic matter is required at the throat to keep the wormhole stable. We then study the stability analysis of the wormhole by considering phantom-energy for the exotic matter, generalized Chaplygin gas (GCG), and the linearized stability analysis. It is argued that, quantum corrections can affect the stability domain of the wormhole.