Nonlocal Gravitational Models and Exact Solutions

Understand

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.