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arXiv · 0907.0468

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

Sergey Yu. Vernov
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Abstract

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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Sergey Yu. Vernov. 2010-05-04. Localization of nonlocal cosmological models with quadratic potentials in the case of double roots. https://doi.org/10.1088/0264-9381%2F27%2F3%2F035006

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