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Gravitational models with non-local scalar fields

arXiv:1201.5293

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 $F(\Box)$, which has both simple and double roots. The way of localization allows to find particular solutions of nonlocal equations of gravity.

7 pages, has been published in the proceedings of the XIXth International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP'2010), http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=104