Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability

TL;DR

This paper constructs and analyzes the properties and stability of thin-shell charged wormholes in higher-dimensional general relativity with various throat geometries, revealing conditions for their stability and physical characteristics.

Contribution

It introduces a general framework for constructing and analyzing higher-dimensional thin-shell wormholes with different geometries and provides a comprehensive stability analysis.

Findings

Planar and hyperbolic geometries allow for diverse topologies.

Stability conditions depend on the wormhole parameters and geometry.

The study recovers previous results for specific cases.

Abstract

We construct thin-shell electrically charged wormholes in d-dimensional general relativity with a cosmological constant. The wormholes constructed can have different throat geometries, namely, spherical, planar and hyperbolic. Unlike the spherical geometry, the planar and hyperbolic geometries allow for different topologies and in addition can be interpreted as higher-dimensional domain walls or branes connecting two universes. In the construction we use the cut-and-paste procedure by joining together two identical vacuum spacetime solutions. Properties such as the null energy condition and geodesics are studied. A linear stability analysis around the static solutions is carried out. A general result for stability is obtained from which previous results are recovered.