{"id":"https://openalex.org/W4393279351","doi":"https://doi.org/10.3390/sym16040397","title":"Constraints on Graviton Mass from Schwarzschild Precession in the Orbits of S-Stars around the Galactic Center","display_name":"Constraints on Graviton Mass from Schwarzschild Precession in the Orbits of S-Stars around the Galactic Center","publication_year":2024,"publication_date":"2024-03-28","ids":{"openalex":"https://openalex.org/W4393279351","doi":"https://doi.org/10.3390/sym16040397"},"language":"en","primary_location":{"id":"doi:10.3390/sym16040397","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16040397","pdf_url":"https://www.mdpi.com/2073-8994/16/4/397/pdf?version=1711640058","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/4/397/pdf?version=1711640058","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053112089","display_name":"P. Jovanovi\u0107","orcid":"https://orcid.org/0000-0003-4259-0101"},"institutions":[{"id":"https://openalex.org/I4210155633","display_name":"Astronomical Observatory","ror":"https://ror.org/04t4pcw17","country_code":"RS","type":"facility","lineage":["https://openalex.org/I4210155633"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Predrag Jovanovi\u0107","raw_affiliation_strings":["Astronomical Observatory, Volgina 7, P.O. Box 74, 11060 Belgrade, Serbia"],"raw_orcid":"https://orcid.org/0000-0003-4259-0101","affiliations":[{"raw_affiliation_string":"Astronomical Observatory, Volgina 7, P.O. Box 74, 11060 Belgrade, Serbia","institution_ids":["https://openalex.org/I4210155633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052215236","display_name":"V. Borka Jovanovi\u0107","orcid":"https://orcid.org/0000-0001-6764-1927"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Vesna Borka Jovanovi\u0107","raw_affiliation_strings":["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"],"raw_orcid":"https://orcid.org/0000-0001-6764-1927","affiliations":[{"raw_affiliation_string":"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","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027548807","display_name":"D. Borka","orcid":"https://orcid.org/0000-0001-9196-4515"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Du\u0161ko Borka","raw_affiliation_strings":["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"],"raw_orcid":"https://orcid.org/0000-0001-9196-4515","affiliations":[{"raw_affiliation_string":"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","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041380045","display_name":"A. F. Zakharov","orcid":"https://orcid.org/0000-0003-2387-6964"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander F. Zakharov","raw_affiliation_strings":["Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia"],"raw_orcid":"https://orcid.org/0000-0003-2387-6964","affiliations":[{"raw_affiliation_string":"Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053112089"],"corresponding_institution_ids":["https://openalex.org/I4210155633"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.7419,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89291292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"16","issue":"4","first_page":"397","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.9202810525894165},{"id":"https://openalex.org/keywords/graviton","display_name":"Graviton","score":0.8687348365783691},{"id":"https://openalex.org/keywords/schwarzschild-radius","display_name":"Schwarzschild radius","score":0.7222728133201599},{"id":"https://openalex.org/keywords/general-relativity","display_name":"General relativity","score":0.5928105115890503},{"id":"https://openalex.org/keywords/supermassive-black-hole","display_name":"Supermassive black hole","score":0.5393189787864685},{"id":"https://openalex.org/keywords/galactic-center","display_name":"Galactic Center","score":0.5246546268463135},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.49982166290283203},{"id":"https://openalex.org/keywords/precession","display_name":"Precession","score":0.4694475829601288},{"id":"https://openalex.org/keywords/gravitational-potential","display_name":"Gravitational potential","score":0.4503638744354248},{"id":"https://openalex.org/keywords/compton-wavelength","display_name":"Compton wavelength","score":0.41613009572029114},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.40975072979927063},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.3701117932796478},{"id":"https://openalex.org/keywords/stars","display_name":"Stars","score":0.36861610412597656},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2539212107658386},{"id":"https://openalex.org/keywords/galaxy","display_name":"Galaxy","score":0.18754184246063232},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18350514769554138},{"id":"https://openalex.org/keywords/photon","display_name":"Photon","score":0.07782679796218872},{"id":"https://openalex.org/keywords/compton-scattering","display_name":"Compton scattering","score":0.06385460495948792}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9202810525894165},{"id":"https://openalex.org/C130044071","wikidata":"https://www.wikidata.org/wiki/Q103585","display_name":"Graviton","level":3,"score":0.8687348365783691},{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.7222728133201599},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.5928105115890503},{"id":"https://openalex.org/C173120059","wikidata":"https://www.wikidata.org/wiki/Q40392","display_name":"Supermassive black hole","level":3,"score":0.5393189787864685},{"id":"https://openalex.org/C132552067","wikidata":"https://www.wikidata.org/wiki/Q649112","display_name":"Galactic Center","level":3,"score":0.5246546268463135},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.49982166290283203},{"id":"https://openalex.org/C81502235","wikidata":"https://www.wikidata.org/wiki/Q104225","display_name":"Precession","level":2,"score":0.4694475829601288},{"id":"https://openalex.org/C127090403","wikidata":"https://www.wikidata.org/wiki/Q1544012","display_name":"Gravitational potential","level":3,"score":0.4503638744354248},{"id":"https://openalex.org/C144429999","wikidata":"https://www.wikidata.org/wiki/Q1145377","display_name":"Compton wavelength","level":4,"score":0.41613009572029114},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.40975072979927063},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.3701117932796478},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.36861610412597656},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2539212107658386},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.18754184246063232},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18350514769554138},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.07782679796218872},{"id":"https://openalex.org/C61203554","wikidata":"https://www.wikidata.org/wiki/Q171516","display_name":"Compton scattering","level":3,"score":0.06385460495948792}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym16040397","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16040397","pdf_url":"https://www.mdpi.com/2073-8994/16/4/397/pdf?version=1711640058","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:22d94c39b3e44d1a8f32459850b68e74","is_oa":false,"landing_page_url":"https://doaj.org/article/22d94c39b3e44d1a8f32459850b68e74","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 4, p 397 (2024)","raw_type":"article"},{"id":"pmh:oai:vinar.vin.bg.ac.rs:123456789/13141","is_oa":true,"landing_page_url":"https://vinar.vin.bg.ac.rs/handle/123456789/13141","pdf_url":null,"source":{"id":"https://openalex.org/S4306402108","display_name":"VinaR (Institute of Nuclear Sciences \"Vin\u010da\")","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210101313","host_organization_name":"University Hospital Center Dr Dragi\u0161a Mi\u0161ovi\u0107","host_organization_lineage":["https://openalex.org/I4210101313"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16040397","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16040397","pdf_url":"https://www.mdpi.com/2073-8994/16/4/397/pdf?version=1711640058","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4393279351.pdf"},"referenced_works_count":128,"referenced_works":["https://openalex.org/W149691789","https://openalex.org/W1538688665","https://openalex.org/W1562625608","https://openalex.org/W1563959704","https://openalex.org/W1624029523","https://openalex.org/W1727234231","https://openalex.org/W1779444124","https://openalex.org/W1791150725","https://openalex.org/W1976951742","https://openalex.org/W1977943213","https://openalex.org/W1978710384","https://openalex.org/W1983439542","https://openalex.org/W1985989291","https://openalex.org/W1986863182","https://openalex.org/W1997071591","https://openalex.org/W1999801908","https://openalex.org/W2001876144","https://openalex.org/W2004188331","https://openalex.org/W2004614917","https://openalex.org/W2008862060","https://openalex.org/W2010539439","https://openalex.org/W2010596380","https://openalex.org/W2016598507","https://openalex.org/W2025983792","https://openalex.org/W2031662947","https://openalex.org/W2034345337","https://openalex.org/W2038432956","https://openalex.org/W2047928501","https://openalex.org/W2056566742","https://openalex.org/W2060383166","https://openalex.org/W2062136406","https://openalex.org/W2062751091","https://openalex.org/W2073509179","https://openalex.org/W2075468606","https://openalex.org/W2075541923","https://openalex.org/W2085566634","https://openalex.org/W2087075974","https://openalex.org/W2088754872","https://openalex.org/W2089607103","https://openalex.org/W2089898832","https://openalex.org/W2091262560","https://openalex.org/W2094722018","https://openalex.org/W2097968935","https://openalex.org/W2100306218","https://openalex.org/W2110284565","https://openalex.org/W2136086121","https://openalex.org/W2151458246","https://openalex.org/W2166436681","https://openalex.org/W2177175366","https://openalex.org/W2205362909","https://openalex.org/W2252795400","https://openalex.org/W2346368008","https://openalex.org/W2465524581","https://openalex.org/W2557435131","https://openalex.org/W2618288299","https://openalex.org/W2620581158","https://openalex.org/W2621229679","https://openalex.org/W2728638672","https://openalex.org/W2755289443","https://openalex.org/W2782581647","https://openalex.org/W2785055545","https://openalex.org/W2785116680","https://openalex.org/W2803286341","https://openalex.org/W2884375320","https://openalex.org/W2906318445","https://openalex.org/W2908661451","https://openalex.org/W2947777670","https://openalex.org/W2950494852","https://openalex.org/W2950697641","https://openalex.org/W2963985183","https://openalex.org/W2967067940","https://openalex.org/W2979200933","https://openalex.org/W2981797092","https://openalex.org/W3006858127","https://openalex.org/W3007394377","https://openalex.org/W3015519038","https://openalex.org/W3017166672","https://openalex.org/W3038096834","https://openalex.org/W3092707075","https://openalex.org/W3098842273","https://openalex.org/W3099983369","https://openalex.org/W3100013274","https://openalex.org/W3100403067","https://openalex.org/W3100682663","https://openalex.org/W3101713755","https://openalex.org/W3101971695","https://openalex.org/W3102458463","https://openalex.org/W3102482757","https://openalex.org/W3102687315","https://openalex.org/W3103668758","https://openalex.org/W3105110409","https://openalex.org/W3105496158","https://openalex.org/W3105647117","https://openalex.org/W3105766104","https://openalex.org/W3105891255","https://openalex.org/W3106084670","https://openalex.org/W3121564274","https://openalex.org/W3123648758","https://openalex.org/W3152823991","https://openalex.org/W3157584970","https://openalex.org/W3195394353","https://openalex.org/W3206188164","https://openalex.org/W3210865855","https://openalex.org/W3211163968","https://openalex.org/W3212726167","https://openalex.org/W4200486006","https://openalex.org/W4207034340","https://openalex.org/W4210356427","https://openalex.org/W4210574218","https://openalex.org/W4213231339","https://openalex.org/W4234110762","https://openalex.org/W4250593586","https://openalex.org/W4283079374","https://openalex.org/W4289343315","https://openalex.org/W4297744131","https://openalex.org/W4309922069","https://openalex.org/W4309956166","https://openalex.org/W4361207513","https://openalex.org/W4387188216","https://openalex.org/W4387363633","https://openalex.org/W4391566479","https://openalex.org/W4391954454","https://openalex.org/W4392817824","https://openalex.org/W6605991025","https://openalex.org/W6653344481","https://openalex.org/W6768827807","https://openalex.org/W6785865444","https://openalex.org/W6802938583"],"related_works":["https://openalex.org/W1694148226","https://openalex.org/W2079906908","https://openalex.org/W3177870695","https://openalex.org/W2791188497","https://openalex.org/W2952862071","https://openalex.org/W4403818944","https://openalex.org/W4407091925","https://openalex.org/W2147179736","https://openalex.org/W3021704489","https://openalex.org/W2289985931"],"abstract_inverted_index":{"In":[0],"this":[1,130],"paper":[2],"we":[3,61,132,151],"use":[4],"a":[5,13,90],"modification":[6],"of":[7,36,57,74,81,139,158,177],"the":[8,33,39,48,53,71,79,101,104,116,121,127,140,147,154,175],"Newtonian":[9],"gravitational":[10,49],"potential":[11,45,50,141],"with":[12,89,167,174],"non-linear":[14],"Yukawa-like":[15],"correction,":[16],"as":[17,171,173],"it":[18,145],"was":[19],"proposed":[20],"by":[21,100],"C.":[22],"Will":[23],"earlier":[24],"to":[25,78,135],"obtain":[26],"new":[27],"bounds":[28],"on":[29],"graviton":[30,148,159],"mass":[31],"from":[32,47,94],"observed":[34],"orbits":[35],"S-stars":[37,75],"around":[38,120],"Galactic":[40],"Center":[41],"(GC).":[42],"This":[43,96],"phenomenological":[44],"differs":[46],"obtained":[51,162],"in":[52,63,107,110,115],"weak":[54],"field":[55],"limit":[56],"Yukawa":[58],"gravity,":[59],"which":[60],"used":[62],"our":[64,168],"previous":[65,169],"studies.":[66],"We":[67],"also":[68,152],"assumed":[69],"that":[70,103,144],"orbital":[72],"precession":[73,114],"is":[76,98],"close":[77],"prediction":[80],"General":[82],"Relativity":[83],"(GR)":[84],"for":[85],"Schwarzschild":[86,113],"precession,":[87],"but":[88],"possible":[91],"small":[92],"discrepancy":[93],"it.":[95],"assumption":[97],"motivated":[99],"fact":[102],"GRAVITY":[105],"Collaboration":[106],"2020":[108],"and":[109],"2022":[111],"detected":[112],"S2":[117],"star":[118],"orbit":[119],"Supermassive":[122],"Black":[123],"Hole":[124],"(SMBH)":[125],"at":[126],"GC.":[128],"Using":[129],"approach,":[131],"were":[133,164],"able":[134],"constrain":[136],"parameter":[137],"\u03bb":[138],"and,":[142],"assuming":[143],"represents":[146],"Compton":[149],"wavelength,":[150],"found":[153],"corresponding":[155],"upper":[156],"bound":[157],"mass.":[160],"The":[161],"results":[163],"then":[165],"compared":[166],"estimates,":[170],"well":[172],"estimates":[176],"other":[178],"authors.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
