{"id":"https://openalex.org/W7206175707","doi":"https://doi.org/10.48550/arxiv.2609.00229","title":"Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes","display_name":"Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7206175707","doi":"https://doi.org/10.48550/arxiv.2609.00229"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.00229","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00229","pdf_url":"https://arxiv.org/pdf/2609.00229","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.00229","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100846309","display_name":"D. de la Fuente","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"de la Fuente, D.","raw_affiliation_strings":["Departament of Mathematics , University of Oviedo , Escuela Polit\u00e9cnica de Ingenier\u00eda , Gij\u00f3n , 33003 , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament of Mathematics , University of Oviedo , Escuela Polit\u00e9cnica de Ingenier\u00eda , Gij\u00f3n , 33003 , Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5149146847","display_name":"R. M. Rubio","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rubio, R. M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5153446446","display_name":"J. Torrente-Teruel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I53110688","display_name":"University of C\u00f3rdoba","ror":"https://ror.org/05yc77b46","country_code":"ES","type":"education","lineage":["https://openalex.org/I53110688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Torrente-Teruel, J.","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , University of C\u00f3rdoba , Campus de Rabanales , C\u00f3rdoba , 14071 , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , University of C\u00f3rdoba , Campus de Rabanales , C\u00f3rdoba , 14071 , Spain","institution_ids":["https://openalex.org/I53110688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9761000275611877,"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"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9761000275611877,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.012199999764561653,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.007600000128149986,"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/dimensional-reduction","display_name":"dimensional reduction","score":0.9729999899864197},{"id":"https://openalex.org/keywords/robertson-walker-spacetime","display_name":"Robertson-Walker spacetime","score":0.9269999861717224},{"id":"https://openalex.org/keywords/totally-geodesic-submanifolds","display_name":"totally geodesic submanifolds","score":0.8679999709129333},{"id":"https://openalex.org/keywords/galilean-spacetime","display_name":"Galilean spacetime","score":0.8159999847412109},{"id":"https://openalex.org/keywords/lorentzian-spacetime","display_name":"Lorentzian spacetime","score":0.9330000281333923}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8064000010490417},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6126999855041504},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5766000151634216},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5598999857902527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45260000228881836},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C2780091087","wikidata":"https://www.wikidata.org/wiki/Q3092131","display_name":"Dimensional reduction","level":2,"score":0.4097999930381775},{"id":"https://openalex.org/C519885992","wikidata":"https://www.wikidata.org/wiki/Q161","display_name":"Fiber","level":2,"score":0.3874000012874603},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3702999949455261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3564999997615814},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3506999909877777},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34689998626708984},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C175205982","wikidata":"https://www.wikidata.org/wiki/Q208920","display_name":"One-dimensional space","level":2,"score":0.25760000944137573},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.00229","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00229","pdf_url":"https://arxiv.org/pdf/2609.00229","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.2609.00229","doi":"https://doi.org/10.48550/arxiv.2609.00229","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.00229","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.00229","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00229","pdf_url":"https://arxiv.org/pdf/2609.00229","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/G3114942913","display_name":null,"funder_award_id":"PID2021- 126217NB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7206175707.pdf","grobid_xml":"https://content.openalex.org/works/W7206175707.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4413273904","https://openalex.org/W1972346931","https://openalex.org/W6885037450","https://openalex.org/W7100999500","https://openalex.org/W7049363874","https://openalex.org/W3045147846","https://openalex.org/W2095460986","https://openalex.org/W2092356017","https://openalex.org/W1082979143","https://openalex.org/W7211960633"],"abstract_inverted_index":{"In":[0,20],"this":[1,21],"article,":[2],"we":[3,23],"establish":[4],"a":[5,34],"new":[6],"dimensional":[7,36],"reduction":[8],"result":[9],"in":[10],"(Galilean":[11],"or":[12],"Lorentzian)":[13],"Robertson":[14],"Walker":[15],"spacetimes":[16],"with":[17],"Euclidean":[18],"fiber.":[19],"context,":[22],"prove":[24],"that":[25],"every":[26],"unchanged":[27],"direction":[28],"observer":[29],"can":[30],"be":[31],"embedded":[32],"into":[33],"three":[35],"totally":[37],"geodesic":[38],"timelike":[39],"submanifold.":[40]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-03T00:00:00"}
