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arXiv · 1202.0178

Stability of de Sitter Solutions in Non-local Cosmological Models

E. Elizalde·E. O. Pozdeeva·S. Yu. Vernov
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Abstract

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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E. Elizalde, E. O. Pozdeeva, S. Yu. Vernov. 2012-02-01. Stability of de Sitter Solutions in Non-local Cosmological Models. https://doi.org/10.22323/1.138.0038

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