Traversable asymptotically flat wormholes in Rastall gravity

TL;DR

This paper explores traversable wormholes within Rastall gravity, a theory where energy-momentum conservation is modified, showing that such wormholes can meet energy conditions and be potentially traversable with certain matter sources.

Contribution

It provides new exact solutions for traversable wormholes in Rastall gravity and analyzes their properties, including energy conditions and traversability criteria.

Findings

Rastall gravity significantly influences wormhole characteristics.

Some solutions satisfy the weak energy condition.

Traversability can be achieved with phantom matter sources.

Abstract

There are some gravitational theories in which the ordinary energy-momentum conservation law is not valid in the curved spacetime. Rastall gravity is one of the known theories in this regard which includes a non-minimal coupling between geometry and matter fields. Equipped with the basis of such theory, we study the properties of traversable wormholes with flat asymptotes. We investigate the possibility of exact solutions by a source with the baryonic matter state parameter. Our survey indicates that Rastall theory has considerable effects on the wormhole characteristics. In addition, we study various case studies and show that the weak energy condition may be met for some solutions. We also give a discussion regarding to traversability of such wormhole geometry with phantom sources.