Abstract:
Nonlocal de Sitter gravity is defined by the action \begin{equation*} S = \frac 1{16\pi G} \int (R-2\Lambda + \sqrt{R-2\Lambda} \mathcal{F}(\Box) \sqrt{R-2\Lambda}) \sqrt{-g} \mathrm d^4 x. \end{equation*} Recently, several cosmological solutions for the homogeneous and isotropic Universe have been found. In this talk we discuss cosmological solutions of the Nonlocal de Sitter gravity with homogenous and anisotropic metric. In particular we discuss Bianchi type I metric. This talk is based on joint work with Branko Dragovich, Zoran Rakić and Jelena Stanković.