{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:04:12Z","timestamp":1760144652946,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science, Technological Development and Innovation of the Republic of Serbia","award":["451-03-66\/2024-03\/200104","451-03-65\/2024-03\/200138"],"award-info":[{"award-number":["451-03-66\/2024-03\/200104","451-03-65\/2024-03\/200138"]}]},{"name":"COST (European Cooperation in Science and Technology)","award":["451-03-66\/2024-03\/200104","451-03-65\/2024-03\/200138"],"award-info":[{"award-number":["451-03-66\/2024-03\/200104","451-03-65\/2024-03\/200138"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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\u2014galactic and the solar system. This paper contains our investigation of the corresponding Schwarzschild\u2013de 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.<\/jats:p>","DOI":"10.3390\/sym16050544","type":"journal-article","created":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T10:33:31Z","timestamp":1714559611000},"page":"544","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Schwarzschild\u2013de Sitter Metric of Nonlocal dS Gravity"],"prefix":"10.3390","volume":"16","author":[{"given":"Ivan","family":"Dimitrijevic","sequence":"first","affiliation":[{"name":"Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11158 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5818-0150","authenticated-orcid":false,"given":"Branko","family":"Dragovich","sequence":"additional","affiliation":[{"name":"Institute of Physics Belgrade, University of Belgrade, 11080 Belgrade, Serbia"},{"name":"Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia"},{"name":"Laboratory for Theoretical Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6226-0479","authenticated-orcid":false,"given":"Zoran","family":"Rakic","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11158 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jelena","family":"Stankovic","sequence":"additional","affiliation":[{"name":"Faculty of Education, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wald, R.M. 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