Energy Conditions in Higher Derivative $f(R,\Box R,T)$ Gravity

TL;DR

This paper investigates the viability of higher derivative $f(R,ox R,T)$ gravity models by analyzing energy conditions within a cosmological context, aiming to identify stable and physically plausible parameter regions.

Contribution

It introduces a method to derive viability bounds for $f(R,ox R,T)$ gravity models using energy conditions in a cosmological setting, focusing on stability and observational consistency.

Findings

Identified viable parameter zones satisfying energy conditions.

Analyzed stability of cosmological solutions in three different models.

Provided constraints consistent with recent cosmic parameter estimates.

Abstract

In this paper, we examined the viability bounds of a higher derivative $f(R,\Box R, T)$ theory through analyzing energy conditions (where $R$ and $T$ are the Ricci scalar and trace of energy momentum tensor, respectively). We take flat Friedmann-Lema\^{i}tre-Robertson-Walker spacetime coupled with ideal configurations of matter content. We consider three different realistic models of this gravity, that could be utilized to understand the stability of cosmological solutions. After constructing certain bounds mediated by energy conditions, more specifically weak energy condition, we discuss viable zones of the under considered modified models in an environment of recent estimated numerical choices of the cosmic parameters.