Nonlocal gravitational models and exact solutions

摘要

A nonlocal gravity model with a function f (□ ~(-1)R), where □ is the d'Alembert operator, is considered. The algorithm, allowing to reconstruct f(□ ~(-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(□ ~(-1R)), corresponding to de Sitter solutions.