|XXIX Workshop on Geometric Methods in Physics
Solutions of nonlocal cosmological equations
A general class of gravitational models driven by a nonlocal scalar field with a linear or quadratic potential is considered. We study the action with an arbitrary analytic function $F(\Box)$, which has both simple and double roots. The way of localization of nonlocal Einstein equations is proposed. For an arbitrary cubic potential V(\phi) the way to find exact solutions for the equation $F(\box)\phi=V'(\phi)$ is proposed and the exact solution are presented.