{"id":"https://openalex.org/W4200291608","doi":"https://doi.org/10.3390/sym14010003","title":"New Cosmological Solutions of a Nonlocal Gravity Model","display_name":"New Cosmological Solutions of a Nonlocal Gravity Model","publication_year":2021,"publication_date":"2021-12-21","ids":{"openalex":"https://openalex.org/W4200291608","doi":"https://doi.org/10.3390/sym14010003"},"language":"en","primary_location":{"id":"doi:10.3390/sym14010003","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010003","pdf_url":"https://www.mdpi.com/2073-8994/14/1/3/pdf?version=1640100143","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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/1/3/pdf?version=1640100143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072873979","display_name":"Ivan Dimitrijevi\u0107","orcid":"https://orcid.org/0000-0003-3092-2295"},"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":"Ivan Dimitrijevic","raw_affiliation_strings":["Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11158 Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11158 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070994483","display_name":"\u0411\u0440\u0430\u043d\u043a\u043e \u0414\u0440\u0430\u0433\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-5818-0150"},"institutions":[{"id":"https://openalex.org/I1338511612","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204","country_code":"RS","type":"funder","lineage":["https://openalex.org/I1338511612"]},{"id":"https://openalex.org/I4390039372","display_name":"Mathematical Institute of the Serbian Academy of Sciences and Arts","ror":"https://ror.org/02jxk1021","country_code":null,"type":"education","lineage":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]},{"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":true,"raw_author_name":"Branko Dragovich","raw_affiliation_strings":["Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia","Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia","institution_ids":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087360804","display_name":"Zoran Raki\u0107","orcid":"https://orcid.org/0000-0002-6226-0479"},"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":"Zoran Rakic","raw_affiliation_strings":["Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11158 Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11158 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012209165","display_name":"Jelena Stankovi\u0107","orcid":"https://orcid.org/0000-0003-2596-7827"},"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":"Jelena Stankovic","raw_affiliation_strings":["Teacher Education Faculty, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Teacher Education Faculty, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070994483"],"corresponding_institution_ids":["https://openalex.org/I1338511612","https://openalex.org/I4068193","https://openalex.org/I4390039372"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2938,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80446308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"14","issue":"1","first_page":"3","last_page":"3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":1.0,"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":1.0,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9993000030517578,"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":0.7850311994552612},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6144396066665649},{"id":"https://openalex.org/keywords/dark-energy","display_name":"Dark energy","score":0.5431635975837708},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4987175464630127},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.47826826572418213},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.4771368205547333},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.4536530077457428},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4458402991294861},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44522637128829956},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.43332356214523315},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4239223599433899},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.39484110474586487},{"id":"https://openalex.org/keywords/cosmology","display_name":"Cosmology","score":0.3924880623817444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16629427671432495},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12163868546485901},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11047482490539551},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0799170732498169}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7850311994552612},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6144396066665649},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.5431635975837708},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4987175464630127},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.47826826572418213},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4771368205547333},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.4536530077457428},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4458402991294861},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44522637128829956},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.43332356214523315},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4239223599433899},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.39484110474586487},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.3924880623817444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16629427671432495},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12163868546485901},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11047482490539551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0799170732498169},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym14010003","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010003","pdf_url":"https://www.mdpi.com/2073-8994/14/1/3/pdf?version=1640100143","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:arXiv.org:2112.06312","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.06312","pdf_url":"https://arxiv.org/pdf/2112.06312","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:c850030f5ba546ce94c1ea3937596582","is_oa":true,"landing_page_url":"https://doaj.org/article/c850030f5ba546ce94c1ea3937596582","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 1, p 3 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/1/3/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14010003","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14010003","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010003","pdf_url":"https://www.mdpi.com/2073-8994/14/1/3/pdf?version=1640100143","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":[{"display_name":"Affordable and clean energy","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200291608.pdf","grobid_xml":"https://content.openalex.org/works/W4200291608.grobid-xml"},"referenced_works_count":73,"referenced_works":["https://openalex.org/W1588489323","https://openalex.org/W1672059830","https://openalex.org/W1791150725","https://openalex.org/W1835989283","https://openalex.org/W1970090133","https://openalex.org/W1973723463","https://openalex.org/W1978976543","https://openalex.org/W1980110343","https://openalex.org/W1985623182","https://openalex.org/W1989589910","https://openalex.org/W2004188331","https://openalex.org/W2065172657","https://openalex.org/W2068004649","https://openalex.org/W2076491654","https://openalex.org/W2092440385","https://openalex.org/W2112807751","https://openalex.org/W2157606627","https://openalex.org/W2163887658","https://openalex.org/W2338491470","https://openalex.org/W2341675827","https://openalex.org/W2415388990","https://openalex.org/W2614662766","https://openalex.org/W2621229679","https://openalex.org/W2769588605","https://openalex.org/W2776650608","https://openalex.org/W2786011187","https://openalex.org/W2803920669","https://openalex.org/W2892072320","https://openalex.org/W2902167704","https://openalex.org/W2906318445","https://openalex.org/W2942779367","https://openalex.org/W2950412205","https://openalex.org/W2951616571","https://openalex.org/W2952484799","https://openalex.org/W2953316147","https://openalex.org/W2997659669","https://openalex.org/W3002202931","https://openalex.org/W3012529073","https://openalex.org/W3026891315","https://openalex.org/W3028775855","https://openalex.org/W3033790896","https://openalex.org/W3037249162","https://openalex.org/W3037907370","https://openalex.org/W3049678220","https://openalex.org/W3098170189","https://openalex.org/W3100072635","https://openalex.org/W3100257829","https://openalex.org/W3101462899","https://openalex.org/W3102300209","https://openalex.org/W3102519476","https://openalex.org/W3102625741","https://openalex.org/W3102687315","https://openalex.org/W3103076966","https://openalex.org/W3103345357","https://openalex.org/W3103733548","https://openalex.org/W3105647117","https://openalex.org/W3105691961","https://openalex.org/W3122621613","https://openalex.org/W3196807430","https://openalex.org/W3206811839","https://openalex.org/W3210289394","https://openalex.org/W4234933822","https://openalex.org/W4300066502","https://openalex.org/W6635106669","https://openalex.org/W6637869637","https://openalex.org/W6691589364","https://openalex.org/W6703798473","https://openalex.org/W6703866006","https://openalex.org/W6716259483","https://openalex.org/W6756505391","https://openalex.org/W6763969218","https://openalex.org/W6764647443","https://openalex.org/W6929192139"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W2784467519","https://openalex.org/W4289867043","https://openalex.org/W1972950582","https://openalex.org/W2366459771","https://openalex.org/W2591893973","https://openalex.org/W2025073373","https://openalex.org/W1973736094","https://openalex.org/W1502478523","https://openalex.org/W2964085902"],"abstract_inverted_index":{"A":[0],"nonlocal":[1,31,68,104,115],"gravity":[2,69,116],"model":[3,101],"(2)":[4],"was":[5],"introduced":[6],"and":[7,10,58,109],"considered":[8],"recently,":[9],"two":[11],"exact":[12,55],"cosmological":[13,56],"solutions":[14,57],"in":[15,64],"flat":[16],"space":[17],"were":[18],"presented.":[19],"The":[20],"first":[21,84],"solution":[22,88],"is":[23,41],"related":[24],"to":[25],"some":[26,60],"radiation":[27],"effects":[28],"generated":[29],"by":[30],"dynamics":[32,70],"on":[33],"dark":[34],"energy":[35],"background,":[36],"while":[37],"the":[38,48,61,73,78,90],"second":[39],"one":[40],"a":[42,87,103],"nonsingular":[43],"time":[44],"symmetric":[45,106],"bounce.":[46],"In":[47],"present":[49],"paper,":[50],"we":[51,83],"investigate":[52],"other":[53],"possible":[54,97],"find":[59],"new":[62],"ones":[63],"nonflat":[65],"space.":[66],"Used":[67],"can":[71],"change":[72],"background":[74],"topology.":[75],"To":[76],"solve":[77],"corresponding":[79],"equations":[80],"of":[81,89,99],"motion,":[82],"look":[85],"for":[86],"eigenvalue":[91],"problem":[92],"\u25a1(R\u22124\u039b)=q(R\u22124\u039b).":[93],"We":[94],"also":[95],"discuss":[96],"extension":[98],"this":[100],"with":[102,112],"operator,":[105],"under":[107],"\u25a1\u27f7\u25a1\u22121,":[108],"its":[110],"connection":[111],"another":[113],"interesting":[114],"model.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
