Authors: Dimitrijevic, I.
Dragovich, B.
Koshelev, A. S.
Rakic, Z.
Stankovic, J.
Title: Cosmological solutions of a nonlocal square root gravity
Journal: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume: 797
Issue Date: 10-Oct-2019
ISSN: 03702693
DOI: 10.1016/j.physletb.2019.134848
URL: https://api.elsevier.com/content/abstract/scopus_id/85070591496
Abstract: 
© 2019 The Authors In this paper we consider modification of general relativity extending R−2Λ by nonlocal term of the form R−2ΛF(□)R−2Λ, where F(□) is an analytic function of the d'Alembert operator □. We have found some exact cosmological solutions of the corresponding equations of motion without matter and with Λ≠0. One of these solutions is a(t)=At [Formula presented] e [Formula presented] t2, which imitates properties similar to an interplay of the dark matter and the dark energy. For this solution we calculated some cosmological parameters which are in a good agreement with observations. This nonlocal gravity model has not the Minkowski space solution. We also found several conditions which function F(□) has to satisfy.

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