Possible wormholes in a brane world

TL;DR

This paper constructs a broad class of static, spherically symmetric wormhole solutions satisfying R=0, which are regular, traversable, and can be interpreted as potential brane world wormholes influenced by bulk gravity.

Contribution

It introduces a new family of wormhole metrics with arbitrary throat sizes, demonstrating their compatibility with brane world scenarios through vacuum Einstein equations on the brane.

Findings

Wormholes can be globally regular and traversable.

Metrics can have symmetric or asymmetric throats.

Solutions satisfy vacuum Einstein equations with bulk-induced stress-energy.

Abstract

The condition R=0, where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of r) of static, spherically symmetric Lorentzian wormhole metrics. The wormholes are globally regular and traversable, can have throats of arbitrary size and can be both symmetric and asymmetric. These metrics may be treated as possible wormhole solutions in a brane world since they satisfy the vacuum Einstein equations on the brane where effective stress-energy is induced by interaction with the bulk gravitational field. Some particular examples are discussed.