Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms

TL;DR

This paper explores traversable wormholes within an alternative gravity framework that includes extra material terms, demonstrating they can be supported by phantom fluids without violating energy conditions.

Contribution

It introduces a novel approach to modeling wormholes using an alternative gravity theory with additional material terms, showing they can be sustained by phantom fluids.

Findings

Wormholes can be supported by phantom fluids in the proposed theory.

Energy conditions are analyzed for the wormhole solutions.

The solutions depend on specific metric functions.

Abstract

Wormholes are tunnels connecting different regions in space-time. They were obtained originally as a solution for Einstein's General Relativity theory and according to this theory they need to be filled by an exotic kind of anisotropic matter. In the present sense, by "exotic matter" we mean matter that does not satisfy the energy conditions. In this article we propose the modelling of wormholes within an alternative gravity theory that proposes an extra material (rather than geometrical) term in its gravitational action. Our solutions are obtained from well-known particular cases of the wormhole metric potentials, named redshift and shape functions, and yield the wormholes to be filled by a phantom fluid, that is, a fluid with equation of state parameter $\omega<-1$. In possession of the solutions for the wormhole material content, we also apply the energy conditions to them. The features of those are carefully discussed.