# Energy Conditions in Non-local Gravity

## TL;DR

This paper explores how energy conditions are affected in nonlocal gravity theories that modify Einstein's general relativity by including functions of the inverse d'Alembertian operator, analyzing constraints on specific solutions.

## Contribution

It provides a detailed analysis of energy conditions in nonlocal gravity, highlighting the effects of arbitrary functions of the inverse d'Alembertian on solution constraints.

## Key findings

- Energy conditions impose specific constraints on nonlocal gravity parameters.
- Power law and de Sitter solutions are analyzed for energy condition validity.
- Results help in understanding the physical viability of nonlocal gravity models.

## Abstract

We investigate the different energy conditions in nonlocal gravity, which is obtained by adding an arbitrary function of d'Alembertian operator, $f(\Box^{-1})$, to the Hilbert- Einstein action. We analyze the validity of four different energy conditions and illustrate the different constraints over parameters of the power law solution as well as de Sitter solution.