Rotating Scalar Field Wormhole

TL;DR

This paper presents an exact, analytic solution describing the internal rotating region of a wormhole supported by a scalar field with opposite sign, and matches it with a static asymptotically flat solution to model the complete spacetime.

Contribution

It provides the first exact analytic solutions for a rotating wormhole with a scalar field, including matching static and rotating regions.

Findings

Derived an exact rotating wormhole solution with scalar field

Matched rotating and static solutions for a complete spacetime model

Explored features of the combined wormhole solutions

Abstract

We derive an exact solution to the Einstein's equations with a stress-energy tensor corresponding to an opposite-sign scalar field, and show that such a solution describes the internal region of a rotating wormhole. We also derive an static wormhole asymptotically flat solution and match them on both regions, thus obtaining an analytic solution for the complete space-time. We explore some of the features of these solutions.