Gravitational models with non-local scalar fields

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

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7 pages, has been published in the proceedings of the XIXth International Workshop on High Energy Physics and Quantum Field Th

Scientific paper

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 $F(\Box)$, 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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