Brans-Dicke cylindrical wormholes

TL;DR

This paper constructs static axisymmetric thin-shell wormholes within Brans-Dicke gravity, exploring conditions under which they can be supported by ordinary or exotic matter, depending on the geometry and fields involved.

Contribution

It provides new solutions for wormholes in Brans-Dicke theory, analyzing matter requirements and flare-out conditions in various electromagnetic and vacuum scenarios.

Findings

Wormholes generally require exotic matter, except when supported by electric fields with finite-radius singularities.

Both definitions of the flare-out condition are applicable to these constructions.

Electric field geometries can support wormholes with ordinary matter at the throat.

Abstract

Static axisymmetric thin-shell wormholes are constructed within the framework of the Brans-Dicke scalar-tensor theory of gravity. Examples of wormholes associated with vacuum and electromagnetic fields are studied. All constructions must be threaded by exotic matter, except in the case of geometries with a singularity of finite radius, associated with an electric field, which can have a throat supported by ordinary matter. These results are achieved with any of the two definitions of the flare-out condition considered.