{"id":"https://openalex.org/W2010284396","doi":"https://doi.org/10.1103/physrevd.32.1595","title":"Kaluza-Klein mixmaster universes","display_name":"Kaluza-Klein mixmaster universes","publication_year":1985,"publication_date":"1985-09-15","ids":{"openalex":"https://openalex.org/W2010284396","doi":"https://doi.org/10.1103/physrevd.32.1595","mag":"2010284396","pmid":"https://pubmed.ncbi.nlm.nih.gov/9956321"},"language":"en","primary_location":{"id":"doi:10.1103/physrevd.32.1595","doi":"https://doi.org/10.1103/physrevd.32.1595","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.32.1595","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035769834","display_name":"John David Barrow","orcid":"https://orcid.org/0000-0002-6083-9751","observed_orcids":["https://orcid.org/0000-0002-6083-9751"]},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John D. Barrow","raw_affiliation_strings":["Astronomy Centre, University of Sussex, Brighton, BN1 9QH, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Astronomy Centre, University of Sussex, Brighton, BN1 9QH, United Kingdom","institution_ids":["https://openalex.org/I162608824"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111837075","display_name":"Jaime A. Stein\u2010Schabes","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. Stein-Schabes","raw_affiliation_strings":["Astronomy Centre, University of Sussex, Brighton, BN1 9QH, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Astronomy Centre, University of Sussex, Brighton, BN1 9QH, United Kingdom","institution_ids":["https://openalex.org/I162608824"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I162608824"],"apc_list":null,"apc_paid":null,"fwci":15.1728,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.99301558,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"32","issue":"6","first_page":"1595","last_page":"1596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9750999808311462,"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":0.9750999808311462,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.005400000140070915,"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":0.00430000014603138,"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/kaluza-klein-cosmology","display_name":"Kaluza-Klein cosmology","score":0.9169999957084656},{"id":"https://openalex.org/keywords/bianchi-type-ix","display_name":"Bianchi type IX","score":0.7590000033378601},{"id":"https://openalex.org/keywords/extra-dimensions","display_name":"extra dimensions","score":0.6769999861717224},{"id":"https://openalex.org/keywords/chaotic-dynamics","display_name":"chaotic dynamics","score":0.703000009059906},{"id":"https://openalex.org/keywords/initial-singularity","display_name":"initial singularity","score":0.9459999799728394},{"id":"https://openalex.org/keywords/anisotropic-cosmological-models","display_name":"anisotropic cosmology","score":0.7059999704360962},{"id":"https://openalex.org/keywords/stochastic-oscillations","display_name":"stochastic oscillations","score":0.5}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7485250234603882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7334993481636047},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6015117168426514},{"id":"https://openalex.org/C79969916","wikidata":"https://www.wikidata.org/wiki/Q944095","display_name":"Kaluza\u2013Klein theory","level":2,"score":0.5231403112411499},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5092252492904663},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4409175217151642},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4324088394641876},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4310567080974579},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4265690743923187},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4073147773742676},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3929479420185089},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1118151843547821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08449628949165344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06654781103134155},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physrevd.32.1595","doi":"https://doi.org/10.1103/physrevd.32.1595","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.32.1595","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmid:9956321","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9956321","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. D, Particles and fields","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1580488372","https://openalex.org/W1969455753","https://openalex.org/W1987532596","https://openalex.org/W2004170783","https://openalex.org/W2013890351","https://openalex.org/W2022011473","https://openalex.org/W2031126840","https://openalex.org/W2090982372","https://openalex.org/W2091424318","https://openalex.org/W2124072792","https://openalex.org/W4236177012","https://openalex.org/W4242217726","https://openalex.org/W4246817616"],"related_works":["https://openalex.org/W7133397025","https://openalex.org/W1765973642","https://openalex.org/W2008768529","https://openalex.org/W2041428874","https://openalex.org/W2046774403","https://openalex.org/W2083196374","https://openalex.org/W2026588787","https://openalex.org/W7045585017","https://openalex.org/W1968901945","https://openalex.org/W1976523598"],"abstract_inverted_index":{"We":[0,14],"analyze":[1],"the":[2,18,48,63],"behavior":[3,26],"of":[4,36,47],"some":[5],"Bianchi":[6],"type-IX,":[7],"mixmaster":[8,38],"cosmological":[9],"models":[10],"possessing":[11],"extra":[12],"dimensions.":[13],"find":[15],"that,":[16],"unlike":[17],"three-dimensional":[19],"case,":[20],"they":[21],"do":[22],"not":[23],"exhibit":[24],"chaotic":[25],"on":[27,52],"approach":[28,53],"to":[29,54],"their":[30],"initial":[31],"singularity.":[32],"A":[33],"finite":[34],"sequence":[35],"stochastic":[37],"oscillations":[39],"is,":[40],"in":[41],"general,":[42],"replaced":[43],"by":[44],"monotonic":[45],"contraction":[46],"three-space":[49],"scale":[50],"factors":[51],"a":[55],"singularity":[56],"whenever":[57],"additional":[58],"spatial":[59],"dimensions":[60],"exist":[61],"with":[62],"metric":[64],"form":[65],"we":[66],"consider.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}