Rotating traversable wormhole geometries in the presence of three-form fields

TL;DR

This paper explores rotating wormhole geometries supported by a three-form field, demonstrating that such fields can satisfy energy conditions and support the wormhole without exotic matter, with analysis of their ergoregions.

Contribution

It introduces a model of rotating wormholes supported by three-form fields, showing they can satisfy energy conditions and confine exotic matter to the form field.

Findings

Energy conditions satisfied throughout spacetime with three-form support

The form field supports the wormhole, confining exotic matter

Analysis of ergoregions in the solutions

Abstract

In this work, we study the rotating wormhole geometries supported by a three-form field. We demonstrate for particular choices of parameters that it is possible for the matter fields threading the wormhole to satisfy the null and weak energy conditions throughout the spacetime, when the three-form field is present. In this case, the form field is interpreted as supporting the wormhole and all the exoticity is confined to it. Thus, the three-form curvature terms, which may be interpreted as a gravitational fluid, sustain these wormhole geometries. Additionally, we also address the ergoregion of the solutions.