1202.0178 (E. Elizalde et al.)

Stability of de Sitter Solutions in Non-local Cosmological Models    [PDF]

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

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.

View original: http://arxiv.org/abs/1202.0178