On nonlocal gravity with constant scalar curvature

Abstract

A class of nonlocal gravity models, where nonlocal term contains an analytic function of the d'Alembert operator □, is considered. For simplicity, these models are considered without matter sector. Related equations of motion for gravitational field gμv(x) are presented and analyzed for a constant scalar curvature R. The corresponding solutions for the cosmological scale factor a(t) of the FLRW universe are found and discussed.