New Cosmological Solutions of a Nonlocal Gravity Model

Author:

Dimitrijevic Ivan,Dragovich Branko,Rakic ZoranORCID,Stankovic Jelena

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 □(R−4Λ)=q(R−4Λ). We also discuss possible extension of this model with a nonlocal operator, symmetric under □⟷□−1, and its connection with another interesting nonlocal gravity model.

Funder

Ministry of Education, Science and Technological Development, Republic of Serbia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference51 articles.

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Schwarzschild–de Sitter Metric of Nonlocal dS Gravity;Symmetry;2024-05-01

2. A closed universe with hybrid nonlocality;International Journal of Geometric Methods in Modern Physics;2024-02-16

3. Some exact anisotropic cosmological solutions of a simple nonlocal de Sitter gravity;International Journal of Modern Physics A;2023-11-20

4. Generalized non-local R2-like inflation;Journal of High Energy Physics;2023-07-18

5. The energy–momentum complex in non-local gravity;International Journal of Geometric Methods in Modern Physics;2023-05-05

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