Energy conditions in generalized teleparallel gravity models

TL;DR

This paper examines energy conditions in various generalized teleparallel gravity models, applying them to cosmology and identifying violations in some cases, thus exploring the theoretical viability of these models.

Contribution

It analyzes energy conditions in multiple teleparallel gravity models, including non-minimal couplings, with applications to cosmology and specific functional forms of F(T).

Findings

Some energy conditions are violated in certain models.

Application to FRW cosmology yields specific results.

Identifies conditions under which energy conditions hold or break down.

Abstract

In this paper, we investigate the energy conditions (including null, weak, strong, dominant) in generalized teleparallel gravities including pure $F(T)$, teleparallel gravity with non-minimally coupled scalar field and $F(T)$ with non-minimally coupled scalar field models. In particular, we apply them to Friedmann-Robertson-Walker (FRW) cosmology and obtain some corresponding results. Using two specific phenomenological forms of $F(T)$, we show that some of the energy conditions are violated.