Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions

TL;DR

This paper investigates wormhole solutions in a non-minimal torsion-matter coupled gravity framework, demonstrating that specific couplings can satisfy the null energy condition while supporting wormhole geometries.

Contribution

It introduces new wormhole solutions in non-minimal torsion-matter coupling gravity that satisfy the null energy condition, unlike traditional models.

Findings

Wormhole solutions satisfying null energy condition are found.

Increasing coupling constant reduces matter energy condition violations.

Two models of torsion-matter coupling are analyzed with consistent results.

Abstract

We explore wormhole solutions in a non-minimal torsion-matter coupled gravity by taking an explicit non-minimal coupling between the matter Lagrangian density and an arbitrary function of torsion scalar. This coupling depicts the transfer of energy and momentum between matter and torsion scalar terms. The violation of null energy condition occurred through effective energy-momentum tensor incorporating the torsion-matter non-minimal coupling while normal matter is responsible for supporting the respective wormhole geometries. We consider energy density in the form of non-monotonically decreasing function along with two types of models. First model is analogous to curvature-matter coupling scenario, that is, torsion scalar with $T$-matter coupling while the second one involves a quadratic torsion term. In both cases, we obtain wormhole solutions satisfying null energy condition. Also, we find that the increasing value of coupling constant minimizes or vanishes the violation of null energy condition through matter.