{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T08:11:49Z","timestamp":1782893509203,"version":"3.54.5"},"reference-count":109,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2024,3,28]],"date-time":"2024-03-28T00:00:00Z","timestamp":1711584000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science, Technological Development and Innovations of the Republic of Serbia","award":["451-03-66\/2024-03\/200002"],"award-info":[{"award-number":["451-03-66\/2024-03\/200002"]}]},{"name":"Ministry of Science, Technological Development and Innovations of the Republic of Serbia","award":["451-03-66\/2024-03\/200017"],"award-info":[{"award-number":["451-03-66\/2024-03\/200017"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper we use a modification of the Newtonian gravitational potential with a non-linear Yukawa-like correction, as it was proposed by C. Will earlier to obtain new bounds on graviton mass from the observed orbits of S-stars around the Galactic Center (GC). This phenomenological potential differs from the gravitational potential obtained in the weak field limit of Yukawa gravity, which we used in our previous studies. We also assumed that the orbital precession of S-stars is close to the prediction of General Relativity (GR) for Schwarzschild precession, but with a possible small discrepancy from it. This assumption is motivated by the fact that the GRAVITY Collaboration in 2020 and in 2022 detected Schwarzschild precession in the S2 star orbit around the Supermassive Black Hole (SMBH) at the GC. Using this approach, we were able to constrain parameter \u03bb of the potential and, assuming that it represents the graviton Compton wavelength, we also found the corresponding upper bound of graviton mass. The obtained results were then compared with our previous estimates, as well as with the estimates of other authors.<\/jats:p>","DOI":"10.3390\/sym16040397","type":"journal-article","created":{"date-parts":[[2024,3,28]],"date-time":"2024-03-28T12:52:12Z","timestamp":1711630332000},"page":"397","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Constraints on Graviton Mass from Schwarzschild Precession in the Orbits of S-Stars around the Galactic Center"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4259-0101","authenticated-orcid":false,"given":"Predrag","family":"Jovanovi\u0107","sequence":"first","affiliation":[{"name":"Astronomical Observatory, Volgina 7, P.O. Box 74, 11060 Belgrade, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6764-1927","authenticated-orcid":false,"given":"Vesna","family":"Borka Jovanovi\u0107","sequence":"additional","affiliation":[{"name":"Department of Theoretical Physics and Condensed Matter Physics (020), Vin\u010da Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9196-4515","authenticated-orcid":false,"given":"Du\u0161ko","family":"Borka","sequence":"additional","affiliation":[{"name":"Department of Theoretical Physics and Condensed Matter Physics (020), Vin\u010da Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2387-6964","authenticated-orcid":false,"given":"Alexander F.","family":"Zakharov","sequence":"additional","affiliation":[{"name":"Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2061","DOI":"10.1103\/PhysRevD.57.2061","article-title":"Bounding the mass of the graviton using gravitational-wave observations of inspiralling compact binaries","volume":"57","author":"Will","year":"1998","journal-title":"Phys. Rev. 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