Authors: Dimitrijevic, Ivan
Dragović, Branko
Koshelev, Alexey S.
Rakić, Zoran
Stankovic, Jelena
Title: Cosmology of non-local f(R) gravity
Journal: Filomat
Volume: 33
Issue: 4
First page: 1163
Last page: 1178
Issue Date: 1-Jan-2019
ISSN: 03545180
DOI: 10.2298/FIL1904163D
URL: https://api.elsevier.com/content/abstract/scopus_id/85078308390
Abstract: 
© 2019, University of Nis. All rights reserved. We consider a modification of GR with a special type of a non-local f (R). The structure of the non-local operators is motivated by the string field theory and p-adic string theory. The spectrum is derived explicitly and the ghost-free condition for the model is formulated. We pay special attention to the classical stability of the de Sitter solution in our model and formulate the conditions on the model parameters to have a stable configuration. Relevance of unstable configurations for the description of the de Sitter phase during inflation is specifically discussed.
Keywords: Bounce cosmological solutions | Cosmological perturbations | No-ghost conditions | Nonlocal modified gravity

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