Nonlocal Gravitational Models and Exact Solutions

TL;DR

This paper develops an algorithm to reconstruct nonlocal gravity functions based on the Hubble parameter, enabling the derivation of specific solutions like de Sitter spacetime within nonlocal gravitational models.

Contribution

It introduces a novel reconstruction algorithm for nonlocal gravity models with $f(ox^{-1} R)$ functions, tailored to match given cosmological parameters.

Findings

Derived explicit forms of $f(ox^{-1} R)$ for de Sitter solutions

Provided a method to connect cosmological evolution with nonlocal gravity functions

Enhanced understanding of nonlocal gravity models in cosmology

Abstract

A nonlocal gravity model with a function $f(\Box^{-1} R)$, where $\Box$ is the d'Alembert operator, is considered. The algorithm, allowing to reconstruct $f(\Box^{-1} R)$, corresponding to the given Hubble parameter and the state parameter of the matter, is proposed. Using this algorithm, we find the functions $f(\Box^{-1} R)$, corresponding to de Sitter solutions.