Wormholes without exotic matter in Einstein-Cartan theory

TL;DR

This paper demonstrates the theoretical possibility of static traversable wormholes in Einstein-Cartan theory without requiring exotic matter, using scalar fields that satisfy energy conditions.

Contribution

It introduces a new class of exact wormhole solutions in Einstein-Cartan theory with nonexotic matter sources, including scalar fields with torsion.

Findings

Wormhole solutions with arbitrary throat radius are found.

Solutions exhibit flat or AdS asymptotic behavior.

Scalar fields satisfy the weak energy condition.

Abstract

We study the possible existence of static traversable wormholes without invoking exotic matter in the framework of the Einstein--Cartan theory. A family of exact static, spherically symmetric wormhole solutions with an arbitrary throat radius, with flat or AdS asymptotic behavior, has been obtained with sources in the form of two noninteracting scalar fields with nonzero potentials. Both scalar fields are canonical (that is, satisfy the weak energy condition), one is minimally and the other nonminimally coupled to gravity, and the latter is a source of torsion.