An Algorithm for Generating Rotating Brans-Dicke Wormhole Solutions

TL;DR

This paper introduces an algorithm to generate various asymptotically flat rotating wormhole solutions within Brans-Dicke theory, expanding the toolkit for theoretical exploration of wormhole geometries.

Contribution

It presents a novel algorithm linking static and rotating wormhole solutions in Brans-Dicke theory, including methods for matching solutions to flat spacetime and extending to vacuum string scenarios.

Findings

Generated multiple classes of rotating wormhole solutions.

Established a method to match wormholes to flat spacetime boundaries.

Extended solutions to vacuum string scenarios.

Abstract

Using the ansatz of Matos and N\'{u}\~{n}ez, the present article proposes an algorithm for generating several classes, not all independent, of asymptotically flat rotating wormhole solutions in the Brans-Dicke Theory. The algorithm allows us to associate a real number}$n$ \textit{with} \textit{each static and generated rotating solution. We shall also demonstrate how to match a rotating wormhole to a flat spacetime at the matter boundaries. The vacuum string extensions of the solutions are straightforward. The physical interpretations of the solutions are deferred.