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© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

A nonlocal gravity model (2) was introduced and considered recently, and two exact cosmological solutions in flat space were presented. The first solution is related to some radiation effects generated by nonlocal dynamics on dark energy background, while the second one is a nonsingular time symmetric bounce. In the present paper, we investigate other possible exact cosmological solutions and find some the new ones in nonflat space. Used nonlocal gravity dynamics can change the background topology. To solve the corresponding equations of motion, we first look for a solution of the eigenvalue problem (R4Λ)=q(R4Λ). We also discuss possible extension of this model with a nonlocal operator, symmetric under 1, and its connection with another interesting nonlocal gravity model.

Details

Title
New Cosmological Solutions of a Nonlocal Gravity Model
Author
Dimitrijevic, Ivan 1 ; Dragovich, Branko 2 ; Rakic, Zoran 1   VIAFID ORCID Logo  ; Stankovic, Jelena 3 

 Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11158 Belgrade, Serbia; [email protected] (I.D.); [email protected] (Z.R.) 
 Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia; Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia 
 Teacher Education Faculty, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia; [email protected] 
First page
3
Publication year
2022
Publication date
2022
Publisher
MDPI AG
e-ISSN
20738994
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2621381815
Copyright
© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.