Energy conditions and constraints on the generalized non-local gravity model

TL;DR

This paper investigates energy conditions within a generalized non-local gravity model, deriving constraints on model parameters by analyzing the evolution of energy conditions for different parameter values.

Contribution

It introduces a new analysis of energy conditions in a modified gravity theory with non-local terms and constrains model parameters based on their evolution.

Findings

Energy conditions are derived for the non-local gravity model.

Constraints on model parameters are obtained from the evolution analysis.

The model's viability is assessed through these energy condition constraints.

Abstract

We study and derive the energy conditions in generalized non-local gravity, which is the modified theory of general relativity (GR) obtained by adding a term $m^{2n-2}R\Box^{-n}R$ to the Einstein-Hilbert action. Moreover, in order to get some insight on the meaning of the energy conditions, we illustrate the evolutions of four energy conditions with the model parameter $\varepsilon$ for different $n$. By analysis we give the constraints on the model parameters $\varepsilon$.