application/pdf 456153 bytes Abstract: It is already known that a simple nonlocal de Sitter gravity model, which we denote as √dS gravity, contains an exact vacuum cosmological solution that mimics dark energy and dark matter and is in very good agreement with the standard model of cosmology. This success of √dS gravity motivated us to investigate how it works at a lower-than-cosmic scale—galactic and the solar system. This paper contains our investigation of the corresponding Schwarzschild–de Sitter metric of the √dS gravity model. To obtain an exact solution, it is necessary to solve the corresponding nonlinear differential equation, which is a very complicated and difficult problem. What we obtained is a solution to a linearized equation, which is related to space metrics far from the massive body, where the gravitational field is weak. The obtained approximate solution is of particular interest for examining the possible role of nonlocal de Sitter gravity √dS in describing the effects in galactic dynamics that are usually attributed to dark matter. This solution was tested on the Milky Way and the spiral galaxy M33 and is in good agreement with observational measurements. https://www.mdpi.com/2073-8994/16/5/544#table_of_contents info:eu-repo/semantics/article The Schwarzschild–de Sitter Metric of Nonlocal √dS Gravity Symmetry volume: 16 number: 5 startpage: 1 endpage: 14 Dimitrijević, Ivan Dragović, Branko Rakić, Zoran Stanković, Jelena MDPI eng 2024 https://phaidrabg.bg.ac.rs/o:35473 doi:10.3390/sym16050544 ISSN: 2073-8994 All rights reserved Keywords: nonlocal de Sitter gravity; Schwarzschild–de Sitter metric; rotation curves of spiral galaxies; dark matter and dark energy