Nonlocal de Sitter Gravity and Cosmology

This talk is devoted to a simple nonlocal de Sitter gravity model and its exact vacuum cosmological solutions. I plan to present construction of this model, equations of motion, several cosmological solutions for FLRW universe and their discussion. One of these solutions mimics effects that are usually assigned to dark matter and dark energy. Some other solutions are examples of the nonsingular bounce ones in flat, closed and open universe. There are also singular and cyclic solutions. All these cosmological solutions are a result of nonlocality and do not exist in the local de Sitter case. See arXiv:2206.13515 [gr-qc].