Stability of de Sitter Solutions in Non-local Cosmological Models

Abstract

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

10 pages, has been published in the proceedings of the XXth International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP'2011), http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=138

Cited by in corpus (2)

• On Nonlocal Modified Gravity and its Cosmological Solutions
• On Nonlocal Modified Gravity and Cosmology