Negative tension branes as stable thin shell wormholes

TL;DR

This paper explores the construction and stability of negative tension brane thin shell wormholes in higher-dimensional Einstein gravity with various symmetries, identifying conditions for their stability.

Contribution

It classifies and constructs stable thin shell wormholes with negative tension in diverse symmetric spacetimes, extending previous models to higher dimensions and different geometries.

Findings

Stable wormholes exist in spherical, planar, and hyperbolic symmetries.

Stability often requires a combination of electric charge and negative cosmological constant.

Stable wormholes can occur even without cosmological constant or electric charge in specific cases.

Abstract

We investigate negative tension branes as stable thin shell wormholes in Reissner-Nordstrom-(anti) de Sitter spacetimes in $d$ dimensional Einstein gravity. Imposing Z2 symmetry, we construct and classify traversable static thin shell wormholes in spherical, planar (or cylindrical) and hyperbolic symmetries. In spherical geometry, we find the higher dimensional counterpart of Barcelo and Visser's wormholes, which are stable against spherically symmetric perturbations. We also find the classes of thin shell wormholes in planar and hyperbolic symmetries with a negative cosmological constant, which are stable against perturbations preserving symmetries. In most cases, stable wormholes are found with the combination of an electric charge and a negative cosmological constant. However, as special cases, we find stable wormholes even with vanishing cosmological constant in spherical symmetry and with vanishing electric charge in hyperbolic symmetry.