Energy conditions in f(T) gravity with higher-derivative torsion terms

TL;DR

This paper investigates the energy conditions in f(T) gravity models with higher-derivative torsion terms, analyzing their viability through cosmographical parameters and specific model bounds.

Contribution

It introduces an analysis of energy conditions in higher-derivative f(T) gravity models using cosmographical parameters, focusing on viability constraints.

Findings

Weak energy condition bounds restrict model parameters

Cosmographical parameters help assess model viability

Specific models analyzed for consistency with energy conditions

Abstract

We study the energy conditions in the framework of the modi- fied gravity with higher-derivative torsional terms in the action. We discuss the viability of the model by studying the energy conditions in terms of the cosmographical parameters like Hubble, deceleration, jerk, snap and lerk parameters. In particular, We consider two spe- cific models that are proposed in literature and examine the viability bounds imposed by the weak energy condition.