Gravitational models with non-local scalar fields
Abstract
A general class of f(R) gravity models with minimally coupling a nonlocal scalar field is considered. The Ostrogradski representation for nonlocal gravitational models with a quadratic potential and the way of its localization are proposed. We study the action with an arbitrary analytic function F(), which has both simple and double roots. The way of localization allows to find particular solutions of nonlocal equations of gravity.
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