Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories

TL;DR

This paper presents solutions for traversable wormholes and time machines within a modified gravity theory featuring non-minimal curvature-matter coupling, allowing matter to satisfy energy conditions.

Contribution

It introduces new solutions in non-minimally coupled $f(R)$ gravity that support traversable wormholes and time machines with physically reasonable matter.

Findings

Solutions exhibit non-trivial redshift functions.

Matter satisfies the dominant energy condition.

Supports traversable wormholes and time machines.

Abstract

We obtain traversable wormhole and time machine solutions of the field equations of an alternative of gravity with non-minimally curvature-matter coupling. Our solutions exhibit a non-trivial redshift function and allow for matter that satisfy the dominant energy condition.