English

On a nonlocal de Sitter gravity

General Relativity and Quantum Cosmology 2023-12-29 v1

Abstract

In this paper, we briefly review highlights of nonlocal de Sitter gravity based on the nonlocal term R2Λ F() R2Λ \sqrt{R - 2\Lambda}\ \mathcal{F}(\Box)\ \sqrt{R - 2\Lambda } in the Einstein-Hilbert action without matter sector. This nonlocal de Sitter gravity model has several exact cosmological FLRW solutions and one of these solutions contains some effects that are usually assigned to dark matter and dark energy. There are also some other interesting and promising properties of this kind of gravity nonlocality. We also review some anisotropic cosmological solutions, and mention the corresponding nonlocal Schwarzschild-de Sitter metric.

Keywords

Cite

@article{arxiv.2312.16673,
  title  = {On a nonlocal de Sitter gravity},
  author = {Ivan Dimitrijevic and Branko Dragovich and Zoran Rakic and Jelena Stankovic},
  journal= {arXiv preprint arXiv:2312.16673},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2206.13515

R2 v1 2026-06-28T14:03:09.866Z