Localization of the SFT inspired Nonlocal Linear Models and Exact Solutions

preprint2011arXivOpen access

Abstract

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(□)F(\Box), which has both simple and double roots. The way of localization of nonlocal Einstein equations is generalized on models with linear potentials. Exact solutions in the Friedmann-Robertson-Walker and Bianchi I metrics are presented.

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