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2012

Stability of de Sitter Solutions in Non-local Cosmological Models

Elizalde, E., Pozdeeva, E. O., Vernov, S. Yu.

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A non-local gravity model, which includes a function $f(\Box^{-1} R)$, where $\Box$ is the d'Alembert operator, is considered.

For the model with an exponential $f(\Box^{-1} R)$ de Sitter solutions are explored, without any restrictions on the parameters.
Using Hubble-normalized variables, the stability of the de Sitter solutions is investigated, with respect to perturbations in the Bianchi I metric, in the case of zero cosmological constant, and sufficient conditions for stability are obtained.

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S. Jhingan, S. Nojiri, S.D. Odintsov, M. Sami, I. Thongkool, and S. Zerbini, Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
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K. Bamba, Sh. Nojiri, S.D. Odintsov, and M. Sasaki, Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities

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