Localization of nonlocal cosmological models with quadratic potentials in the case of double roots

Details Localization of nonlocal cosmological models with quadratic potentials in the case of double roots Localization of nonlocal cosmological models with quadratic potentials in the case of double roots

2009-07-02

arxiv.org/abs/0907.0468v4

Class.Quant.Grav.27:035006,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, v4:a few misprints have been corrected

Scientific paper

10.1088/0264-9381/27/3/035006

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots. The formulae for nonlocal energy-momentum tensor, which correspond to double roots, have been obtained. The way to find particular solutions for nonlocal Einstein equations in the case when F(\Box_g) has both simple and double roots has been proposed. One and the same functions solve the initial nonlocal Einstein equations and the obtained local Einstein equations.

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