English

Stability of de Sitter Solutions in Non-local Cosmological Models

General Relativity and Quantum Cosmology 2019-10-30 v1 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.1202.0178,
  title  = {Stability of de Sitter Solutions in Non-local Cosmological Models},
  author = {E. Elizalde and E. O. Pozdeeva and S. Yu. Vernov},
  journal= {arXiv preprint arXiv:1202.0178},
  year   = {2019}
}

Comments

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