Localization of the SFT inspired Nonlocal Linear Models and Exact Solutions

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 $F(\square )$, 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.

20 pages, 3 figures, published in the proceedings of the VIII International Workshop "Supersymmetries and Quantum Symmetries" (SQS'09), Dubna, Russia, July 29 - August 3, 2009, http://theor.jinr.ru/~sqs09/

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• De Sitter Universe in Nonlocal Gravity
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• Cosmological Solutions of a Nonlocal Model with a Perfect Fluid
• Cosmological Daemon