Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling

TL;DR

This paper investigates the validity of energy conditions in a modified gravity theory with non-minimal torsion-matter coupling, deriving inequalities and applying them to specific models and cosmologies to constrain parameters.

Contribution

It formulates energy bounds in $f(T)$ gravity with non-minimal coupling and applies them to specific models and cosmologies for the first time.

Findings

Derived energy condition inequalities for the model.

Constrained model parameters using these inequalities.

Graphically analyzed the parameter ranges for consistency.

Abstract

The present paper examines the validity of energy bounds in a modified theory of gravity involving non-minimal coupling of torsion scalar and perfect fluid matter. In this respect, we formulate the general inequalities of energy conditions by assuming the flat FRW universe. For the application of these bounds, we particularly focus on two specific models that are recently proposed in literature and also choose the power law cosmology. We find the feasible constraints on the involved free parameters and evaluate their possible ranges graphically for the consistency of these energy bounds.