# Constitutive law of nonlocal gravity

## TL;DR

This paper investigates a recent nonlocal gravity theory by deriving an expanded nonlocality tensor, simplifying its structure at low orders, and aiding the search for exact solutions in nonlocal gravitational models.

## Contribution

It provides a covariant derivation of an expanded nonlocality tensor, clarifying the fundamental structure of nonlocal gravity and facilitating solution-finding efforts.

## Key findings

- Derived an expanded nonlocality tensor for the theory
- Simplified the theory at lowest orders of approximation
- Enhanced understanding of the fundamental structure of nonlocal gravity

## Abstract

We analyze the structure of a recent nonlocal generalization of Einstein's theory of gravitation by Mashhoon et al. By means of a covariant technique, we derive an expanded version of the nonlocality tensor which constitutes the theory. At the lowest orders of approximation, this leads to a simplification which sheds light on the fundamental structure of the theory and may prove useful in the search for exact solutions of nonlocal gravity.