{"id":"https://openalex.org/W7124180342","doi":"https://doi.org/10.48550/arxiv.2601.08443","title":"An Explicit Kaluza-Klein Reduction of Einstein's Gravity in $6D$ on $S^2$","display_name":"An Explicit Kaluza-Klein Reduction of Einstein's Gravity in $6D$ on $S^2$","publication_year":2026,"publication_date":"2026-01-13","ids":{"openalex":"https://openalex.org/W7124180342","doi":"https://doi.org/10.48550/arxiv.2601.08443"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2601.08443","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.08443","pdf_url":"https://arxiv.org/pdf/2601.08443","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/2601.08443","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027911245","display_name":"Tekin Dereli","orcid":"https://orcid.org/0000-0002-6244-6054","observed_orcids":["https://orcid.org/0000-0002-6244-6054"]},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"education","lineage":["https://openalex.org/I1351752"]},{"id":"https://openalex.org/I44925452","display_name":"\u00d6zye\u011fin University","ror":"https://ror.org/01jjhfr75","country_code":"TR","type":"education","lineage":["https://openalex.org/I44925452"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Dereli, Tekin","raw_affiliation_strings":["Department of Physics , Ko\u00e7 University , 34450 Sar\u0131yer , \u0130stanbul , Turkey","Professor of Physics , Faculty of Aviation and Aeronautical Sciences , \u00d6zyegin University , 34794 \u00c7ekmek\u00f6y , \u0130stanbul , Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Ko\u00e7 University , 34450 Sar\u0131yer , \u0130stanbul , Turkey","institution_ids":["https://openalex.org/I1351752"]},{"raw_affiliation_string":"Professor of Physics , Faculty of Aviation and Aeronautical Sciences , \u00d6zyegin University , 34794 \u00c7ekmek\u00f6y , \u0130stanbul , Turkey","institution_ids":["https://openalex.org/I44925452"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025639136","display_name":"Yorgo \u015eeniko\u011flu","orcid":"https://orcid.org/0000-0002-6826-7487","observed_orcids":["https://orcid.org/0000-0002-6826-7487"]},"institutions":[{"id":"https://openalex.org/I94294566","display_name":"Galatasaray University","ror":"https://ror.org/00btgsb62","country_code":"TR","type":"education","lineage":["https://openalex.org/I94294566"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Senikoglu, Yorgo","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques , Universit\u00e9 Galatasaray , 34349 Be\u015fikta\u015f , \u0130stanbul , Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques , Universit\u00e9 Galatasaray , 34349 Be\u015fikta\u015f , \u0130stanbul , Turkey","institution_ids":["https://openalex.org/I94294566"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.6786999702453613,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.6786999702453613,"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":0.23340000212192535,"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":0.05790000036358833,"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-reduction","display_name":"Kaluza-Klein reduction","score":0.9789999723434448},{"id":"https://openalex.org/keywords/six-dimensional-gravity","display_name":"six-dimensional gravity","score":0.7929999828338623},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.6100000143051147},{"id":"https://openalex.org/keywords/yang-mills-action","display_name":"Yang-Mills action","score":0.7839999794960022},{"id":"https://openalex.org/keywords/killing-vectors","display_name":"Killing vector fields","score":0.781000018119812},{"id":"https://openalex.org/keywords/gauge-degrees-of-freedom","display_name":"gauge degrees of freedom","score":0.7129999995231628}],"concepts":[{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5486000180244446},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.5091999769210815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.490200012922287},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.4311000108718872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4293000102043152},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4059999883174896},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.40549999475479126},{"id":"https://openalex.org/C39366733","wikidata":"https://www.wikidata.org/wiki/Q2752849","display_name":"BRST quantization","level":3,"score":0.39629998803138733},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.39309999346733093},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.38920000195503235},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C65211518","wikidata":"https://www.wikidata.org/wiki/Q16743426","display_name":"Introduction to gauge theory","level":3,"score":0.33660000562667847},{"id":"https://openalex.org/C27428435","wikidata":"https://www.wikidata.org/wiki/Q5645297","display_name":"Hamiltonian lattice gauge theory","level":3,"score":0.32679998874664307},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32600000500679016},{"id":"https://openalex.org/C2779228454","wikidata":"https://www.wikidata.org/wiki/Q6410802","display_name":"Kinetic term","level":3,"score":0.311599999666214},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3089999854564667},{"id":"https://openalex.org/C200161520","wikidata":"https://www.wikidata.org/wiki/Q5527630","display_name":"Gauge anomaly","level":4,"score":0.3043999969959259},{"id":"https://openalex.org/C31593994","wikidata":"https://www.wikidata.org/wiki/Q832289","display_name":"Gauge fixing","level":4,"score":0.3037000000476837},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2946999967098236},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C40263606","wikidata":"https://www.wikidata.org/wiki/Q105580","display_name":"Gauge boson","level":3,"score":0.2775999903678894},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C2780091087","wikidata":"https://www.wikidata.org/wiki/Q3092131","display_name":"Dimensional reduction","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.26499998569488525},{"id":"https://openalex.org/C207570611","wikidata":"https://www.wikidata.org/wiki/Q1256500","display_name":"Rotation group SO","level":2,"score":0.25589999556541443},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2601.08443","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.08443","pdf_url":"https://arxiv.org/pdf/2601.08443","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.2601.08443","doi":"https://doi.org/10.48550/arxiv.2601.08443","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.08443","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:2601.08443","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.08443","pdf_url":"https://arxiv.org/pdf/2601.08443","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7124180342.pdf","grobid_xml":"https://content.openalex.org/works/W7124180342.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1990632284","https://openalex.org/W2146632991","https://openalex.org/W7097059469","https://openalex.org/W2044577961","https://openalex.org/W2136030205","https://openalex.org/W4243183833","https://openalex.org/W2603654471","https://openalex.org/W7097933038","https://openalex.org/W2039207860","https://openalex.org/W1997072186"],"abstract_inverted_index":{"We":[0,73],"study":[1],"a":[2,69,79,91],"six-dimensional":[3],"Kaluza-Klein":[4,114],"theory":[5],"with":[6],"spacetime":[7],"topology":[8],"$M_4":[9],"\\times":[10],"S^2$":[11],"and":[12,34,67,89],"analyze":[13],"the":[14,30,36,42,83,100,105],"gauge":[15,38,53,60,93,109],"sector":[16],"arising":[17],"from":[18],"dimensional":[19],"reduction.":[20,101],"Using":[21],"normalized":[22],"Killing":[23],"vectors":[24],"on":[25,116],"$S^2$,":[26,46],"we":[27,47],"explicitly":[28],"construct":[29],"reduced":[31],"Yang-Mills":[32],"action":[33],"determine":[35],"corresponding":[37],"kinetic":[39,61],"matrix.":[40],"Despite":[41],"$SO(3)$":[43],"isometry":[44],"of":[45,82,99,108,111],"show":[48],"that":[49,75],"only":[50],"two":[51,66],"physical":[52],"fields":[54],"propagate":[55],"in":[56,113],"four":[57],"dimensions.":[58],"The":[59],"matrix":[62],"therefore":[63],"has":[64],"rank":[65],"possesses":[68],"single":[70],"zero":[71],"eigenvalue.":[72],"demonstrate":[74],"this":[76],"degeneracy":[77],"is":[78],"direct":[80],"consequence":[81],"coset":[84,117],"structure":[85],"$S^2":[86],"\\simeq":[87],"SO(3)/SO(2)$":[88],"reflects":[90],"non-dynamical":[92],"direction":[94],"rather":[95],"than":[96],"an":[97],"inconsistency":[98],"Our":[102],"results":[103],"clarify":[104],"geometric":[106],"origin":[107],"degrees":[110],"freedom":[112],"reductions":[115],"spaces.":[118]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-01-15T00:00:00"}
