In this paper, we briefly review highlights of nonlocal de Sitter gravity
based on the nonlocal term $ sqrt{R – 2Lambda} mathcal{F}(Box) sqrt{R –
2Lambda }$ 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.
Nonlocal de Sitter gravity, based on the nonlocal term $ sqrt{R – 2Lambda} mathcal{F}(Box) sqrt{R –
2Lambda }$ in the Einstein-Hilbert action without matter sector, has been reviewed in this paper. This gravity model exhibits several exact cosmological FLRW solutions, one of which incorporates effects typically attributed to dark matter and dark energy. Additionally, this type of gravity nonlocality displays other intriguing and promising properties.
Anisotropic cosmological solutions are also examined in this paper, along with the corresponding nonlocal Schwarzschild-de Sitter metric.
Future Roadmap
Potential Challenges
- Validation and further exploration of the exact cosmological solutions proposed in this nonlocal de Sitter gravity model
- Investigation of the nature and behavior of dark matter and dark energy effects within this framework
- Understanding the implications and consequences of the other interesting and promising properties of gravity nonlocality identified in this study
- Analysis of the anisotropic cosmological solutions and their relevance to observational data
Opportunities on the Horizon
- Potential for a new understanding of the fundamental aspects of gravity and its relationship to dark matter and dark energy
- Development of novel cosmological models that incorporate the effects observed in this nonlocal de Sitter gravity
- Possibility of explaining cosmological phenomena and cosmic anomalies that remain unexplained by current theories
- Advancement of our comprehension of the universe’s evolution and composition through the study of anisotropic cosmological solutions
Overall, further research into nonlocal de Sitter gravity has the potential to reshape our understanding of the universe, addressing cosmological mysteries and opening up new avenues for exploration and discovery.