{"id":"https://openalex.org/W3022658024","doi":"https://doi.org/10.1142/s0219887820501844","title":"Wave-like spatially homogeneous models of Stackel spacetimes (3.1) type in the scalar-tensor theory of gravity","display_name":"Wave-like spatially homogeneous models of Stackel spacetimes (3.1) type in the scalar-tensor theory of gravity","publication_year":2020,"publication_date":"2020-08-28","ids":{"openalex":"https://openalex.org/W3022658024","doi":"https://doi.org/10.1142/s0219887820501844","mag":"3022658024"},"language":"en","primary_location":{"id":"doi:10.1142/s0219887820501844","doi":"https://doi.org/10.1142/s0219887820501844","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219887820501844","pdf_url":null,"source":{"id":"https://openalex.org/S146144561","display_name":"International Journal of Geometric Methods in Modern Physics","issn_l":"0219-8878","issn":["0219-8878","1793-6977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geometric Methods in Modern Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.02616","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079937580","display_name":"Evgeny Osetrin","orcid":"https://orcid.org/0000-0001-5998-2238","observed_orcids":["https://orcid.org/0000-0001-5998-2238"]},"institutions":[{"id":"https://openalex.org/I101072179","display_name":"Tomsk State Pedagogical University","ror":"https://ror.org/00x3rpv59","country_code":"RU","type":"education","lineage":["https://openalex.org/I101072179"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Evgeny Osetrin","raw_affiliation_strings":["Theoretical Physics Department, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Physics Department, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia","institution_ids":["https://openalex.org/I101072179"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Konstantin Osetrin","orcid":"https://orcid.org/0000-0003-4739-2788","observed_orcids":["https://orcid.org/0000-0003-4739-2788"]},"institutions":[{"id":"https://openalex.org/I101072179","display_name":"Tomsk State Pedagogical University","ror":"https://ror.org/00x3rpv59","country_code":"RU","type":"education","lineage":["https://openalex.org/I101072179"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Konstantin Osetrin","raw_affiliation_strings":["Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4739-2788","affiliations":[{"raw_affiliation_string":"Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia","institution_ids":["https://openalex.org/I101072179"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Altair Filippov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I101072179","display_name":"Tomsk State Pedagogical University","ror":"https://ror.org/00x3rpv59","country_code":"RU","type":"education","lineage":["https://openalex.org/I101072179"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Altair Filippov","raw_affiliation_strings":["Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia","institution_ids":["https://openalex.org/I101072179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001086526","display_name":"I. V. Kirnos","orcid":"https://orcid.org/0000-0003-3737-3583","observed_orcids":["https://orcid.org/0000-0003-3737-3583"]},"institutions":[{"id":"https://openalex.org/I101072179","display_name":"Tomsk State Pedagogical University","ror":"https://ror.org/00x3rpv59","country_code":"RU","type":"education","lineage":["https://openalex.org/I101072179"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ilya Kirnos","raw_affiliation_strings":["Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Physics, Tomsk State Pedagogical University, Kievskaya str., 60, Tomsk, 634061, Russia","institution_ids":["https://openalex.org/I101072179"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I101072179"],"apc_list":null,"apc_paid":null,"fwci":0.3631,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.5646475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"17","issue":"12","first_page":"2050184","last_page":"2050184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.8988999724388123,"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":0.8988999724388123,"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":0.0568000003695488,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.03280000016093254,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scalar-tensor-gravity","display_name":"scalar-tensor gravity","score":0.8159999847412109},{"id":"https://openalex.org/keywords/spatially-homogeneous-spacetimes","display_name":"spatially homogeneous spacetimes","score":0.9539999961853027},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.7559999823570251},{"id":"https://openalex.org/keywords/separation-of-variables","display_name":"separation of variables","score":0.6959999799728394},{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"eikonal equation","score":0.8479999899864197},{"id":"https://openalex.org/keywords/bianchi-classification","display_name":"Bianchi classification","score":0.9010000228881836},{"id":"https://openalex.org/keywords/petrov-classification","display_name":"Petrov classification","score":0.7870000004768372},{"id":"https://openalex.org/keywords/type-n-spacetimes","display_name":"type N spacetimes","score":0.875}],"concepts":[{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.7967000007629395},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6662999987602234},{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.6290000081062317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6096000075340271},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5611000061035156},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5472000241279602},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5411999821662903},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5102999806404114},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4620000123977661},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4602000117301941},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.4097999930381775},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35420000553131104},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.3215000033378601},{"id":"https://openalex.org/C154693114","wikidata":"https://www.wikidata.org/wiki/Q6796059","display_name":"Maxwell's equations in curved spacetime","level":5,"score":0.3199999928474426},{"id":"https://openalex.org/C159722891","wikidata":"https://www.wikidata.org/wiki/Q913323","display_name":"Separation of variables","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C185277778","wikidata":"https://www.wikidata.org/wiki/Q3966119","display_name":"Stationary spacetime","level":5,"score":0.3052999973297119},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.296999990940094},{"id":"https://openalex.org/C2778086583","wikidata":"https://www.wikidata.org/wiki/Q3363554","display_name":"Deceleration parameter","level":4,"score":0.2824000120162964},{"id":"https://openalex.org/C41254897","wikidata":"https://www.wikidata.org/wiki/Q1139715","display_name":"Causal sets","level":5,"score":0.2612000107765198},{"id":"https://openalex.org/C108804581","wikidata":"https://www.wikidata.org/wiki/Q5447001","display_name":"Field equation","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219887820501844","doi":"https://doi.org/10.1142/s0219887820501844","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219887820501844","pdf_url":null,"source":{"id":"https://openalex.org/S146144561","display_name":"International Journal of Geometric Methods in Modern Physics","issn_l":"0219-8878","issn":["0219-8878","1793-6977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geometric Methods in Modern Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.02616","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02616","pdf_url":"https://arxiv.org/pdf/2005.02616","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2005.02616","doi":"https://doi.org/10.48550/arxiv.2005.02616","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.02616","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.02616","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02616","pdf_url":"https://arxiv.org/pdf/2005.02616","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1524342187","display_name":null,"funder_award_id":"20-01-","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G6123904904","display_name":null,"funder_award_id":"20-01-00389 A","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3022658024.pdf","grobid_xml":"https://content.openalex.org/works/W3022658024.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W22243278","https://openalex.org/W1540216938","https://openalex.org/W1791150725","https://openalex.org/W1983148033","https://openalex.org/W2000866379","https://openalex.org/W2082045072","https://openalex.org/W2091262560","https://openalex.org/W2265236743","https://openalex.org/W2753768710","https://openalex.org/W2902055178","https://openalex.org/W2948579572","https://openalex.org/W2949588884","https://openalex.org/W3014087208","https://openalex.org/W3043127860","https://openalex.org/W3043462734","https://openalex.org/W3045105314","https://openalex.org/W3102136416"],"related_works":["https://openalex.org/W3034043536","https://openalex.org/W3014087208","https://openalex.org/W4311376446","https://openalex.org/W3012869536","https://openalex.org/W3043462734","https://openalex.org/W2948579572","https://openalex.org/W3045105314","https://openalex.org/W4312059195","https://openalex.org/W3170988314","https://openalex.org/W3131429185"],"abstract_inverted_index":{"All":[0],"classes":[1,43],"of":[2,12,20,23,25,35,37,44,61],"spatially":[3],"homogeneous":[4],"spacetime":[5,54,58],"models":[6,59],"in":[7],"the":[8,18,21,29,33,69],"generalized":[9],"scalar\u2013tensor":[10],"theory":[11],"gravitation":[13],"are":[14,47,60],"found":[15],"to":[16,51,68,76],"allow":[17],"integration":[19],"equations":[22],"motion":[24],"test":[26],"particles":[27],"and":[28,65,72],"eikonal":[30],"equation":[31],"by":[32,39],"method":[34],"separation":[36],"variables":[38],"type":[40,73],"(3.1).":[41],"Three":[42],"exact":[45],"solutions":[46],"obtained":[48],"that":[49],"relate":[50],"Shapovalov":[52],"wave-like":[53],"models.":[55],"The":[56],"resulting":[57],"types":[62],"IV,":[63],"VI":[64],"VII":[66],"according":[67,75],"Bianchi":[70],"classification":[71],"N":[74],"Petrov":[77],"classification.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2020-05-13T00:00:00"}