Solutions of nonlocal cosmological equations

Mathematics – Functional Analysis

Scientific paper

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Cosmology, String Field Theory, Localised States, Functional Analysis, Origin And Formation Of The Universe, Noncritical String Theory, Localization Effects, Functional Analysis

Scientific paper

A general class of gravitational models driven by a nonlocal scalar field with a linear or quadratic potential is considered. The Ostrogradski representation for nonlocal gravitational models and the way of its localization are proposed. We study the action with an arbitrary analytic function F(□g), which has both simple and double roots. The way of localization allows to find solutions of nonlocal Einstein equations.

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