Nonlocal Gravitational Models and Exact Solutions

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

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4 pages, to appear in the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2011), Dubna

Scientific paper

A nonlocal gravity model with a function $f(\Box^{-1} R)$, where $\Box$ is
the d'Alembert operator, is considered. The algorithm, allowing to reconstruct
$f(\Box^{-1} R)$, corresponding to the given Hubble parameter and the state
parameter of the matter, is proposed. Using this algorithm, we find the
functions $f(\Box^{-1} R)$, corresponding to de Sitter solutions.

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