Studies on Thin-shells and Thin-shell Wormholes

TL;DR

This paper reviews the construction and stability analysis of thin-shell and thin-shell wormholes in general relativity across 2+1 and 3+1 dimensions, focusing on minimizing exotic matter requirements.

Contribution

It provides a comprehensive study of thin-shell wormholes, including their stability, in both 2+1 and 3+1 dimensions, advancing understanding of their physical viability.

Findings

Thin-shell wormholes can be constructed with minimized exotic matter.

Stability conditions depend on the specific geometries and dimensions.

The study offers insights into the physical plausibility of traversable wormholes.

Abstract

The study of traversable wormholes is very hot topic for the past 30 years. One of the best possible way to make traversable wormhole is using the thin-shells to cut and paste two spacetime which has tunnel from one region of space-time to another, through which a traveler might freely pass in wormhole throat. These geometries need an exotic matter which involves a stress-energy tensor that violates the null energy condition. However, this method can be used to minimize the amount of the exotic matter. The goal of this thesis study is to study on thin-shell and thin-shell wormholes in general relativity in 2+1 and 3+1 dimensions. We also investigate the stability of such objects.