{"id":"https://openalex.org/W7204206221","doi":"https://doi.org/10.48550/arxiv.2608.22523","title":"Killing tensors of Weyl's class","display_name":"Killing tensors of Weyl's class","publication_year":2026,"publication_date":"2026-08-23","ids":{"openalex":"https://openalex.org/W7204206221","doi":"https://doi.org/10.48550/arxiv.2608.22523"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.22523","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22523","pdf_url":"https://arxiv.org/pdf/2608.22523","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/2608.22523","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000954631","display_name":"Dionysios Kokkinos","orcid":"https://orcid.org/0000-0001-8204-3714","observed_orcids":["https://orcid.org/0000-0001-8204-3714"]},"institutions":[{"id":"https://openalex.org/I28710699","display_name":"Hellenic Mediterranean University","ror":"https://ror.org/039ce0m20","country_code":"GR","type":"education","lineage":["https://openalex.org/I28710699"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Kokkinos, Dionysios","raw_affiliation_strings":["Department of Mechanical Engineering , Hellenic Mediterranean University , Heraklion , Crete , Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , Hellenic Mediterranean University , Heraklion , Crete , Greece","institution_ids":["https://openalex.org/I28710699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000954631"],"corresponding_institution_ids":["https://openalex.org/I28710699"],"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":0.9253000020980835,"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":0.9253000020980835,"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":0.05820000171661377,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.006200000178068876,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/killing-tensors","display_name":"Killing tensors","score":0.9890000224113464},{"id":"https://openalex.org/keywords/hidden-symmetries","display_name":"hidden symmetries","score":0.9850000143051147},{"id":"https://openalex.org/keywords/complete-integrability","display_name":"complete integrability","score":0.7590000033378601},{"id":"https://openalex.org/keywords/integrability-obstructions","display_name":"integrability obstructions","score":0.7390000224113464},{"id":"https://openalex.org/keywords/electrovacuum-spacetimes","display_name":"electrovacuum spacetimes","score":0.8410000205039978}],"concepts":[{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.6678000092506409},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6050000190734863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5906000137329102},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5734999775886536},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5304999947547913},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5181000232696533},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.5105999708175659},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4894999861717224},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4675000011920929},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.45579999685287476},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.42800000309944153},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3808000087738037},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.3472999930381775},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.34689998626708984},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C71914180","wikidata":"https://www.wikidata.org/wiki/Q1071013","display_name":"Conserved quantity","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C42519931","wikidata":"https://www.wikidata.org/wiki/Q1200279","display_name":"Killing vector field","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C41054515","wikidata":"https://www.wikidata.org/wiki/Q2000912","display_name":"Standard basis","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.22523","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22523","pdf_url":"https://arxiv.org/pdf/2608.22523","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.22523","doi":"https://doi.org/10.48550/arxiv.2608.22523","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.22523","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.22523","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.22523","pdf_url":"https://arxiv.org/pdf/2608.22523","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204206221.pdf","grobid_xml":"https://content.openalex.org/works/W7204206221.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7164001199"],"related_works":["https://openalex.org/W4404106202","https://openalex.org/W4284973757","https://openalex.org/W1983774989","https://openalex.org/W7219960815","https://openalex.org/W2410135256","https://openalex.org/W1793393871","https://openalex.org/W2115769027","https://openalex.org/W2144916298","https://openalex.org/W4403833498","https://openalex.org/W4401485188"],"abstract_inverted_index":{"This":[0,148],"work":[1],"represents":[2],"an":[3,72,106,151],"initial":[4],"step":[5],"towards":[6],"a":[7,31,34,127,162,199],"systematic":[8,163,200],"framework":[9],"for":[10,61,119,202],"identifying":[11],"hidden":[12,67,169,204],"symmetries":[13,141,170,205],"in":[14,86,101,206],"algebraically":[15,37],"general":[16,38],"(Petrov":[17],"type":[18,208],"I)":[19],"spacetimes.":[20,210],"Motivated":[21],"by":[22],"this,":[23],"we":[24,52,92],"focus":[25],"on":[26],"Weyl's":[27,83,99,124],"class,":[28,84,100],"which":[29],"provides":[30,150],"simple":[32],"yet":[33],"class":[35,125],"of":[36,40,48,75,82,98,111,116,123,168,174,188,195],"solutions":[39],"static,":[41],"axisymmetric":[42],"geometries.":[43],"Employing":[44],"the":[45,55,76,113,166,172,178,186,192],"canonical":[46,193],"forms":[47,194],"rank-2":[49],"Killing":[50,108,146,196],"tensors,":[51],"systematically":[53],"derive":[54],"constraints":[56],"that":[57,94],"must":[58],"be":[59],"satisfied":[60],"these":[62,183],"spacetimes":[63],"to":[64,78,154],"admit":[65],"genuine":[66],"symmetries.":[68],"Our":[69],"analysis":[70],"yields":[71],"analytical":[73,156],"characterization":[74],"obstructions":[77],"integrability":[79],"within":[80],"subclasses":[81],"both":[85],"vacuum":[87,102],"and":[88,157,160,171],"electrovacuum.":[89],"In":[90],"particular,":[91],"find":[93],"no":[95],"two-Killing-vector":[96],"member":[97],"or":[103],"electrovacuum,":[104],"admits":[105],"irreducible":[107],"tensor":[109,197],"capable":[110],"supplying":[112],"additional":[114,129],"integral":[115],"motion":[117],"required":[118],"complete":[120,175],"integrability.":[121,176],"Members":[122],"admitting":[126,143],"third":[128],"Killing-vector":[130],"isometry":[131],"(i.e.":[132],"Levi-Civita)":[133],"are":[134],"already":[135],"completely":[136],"integrable":[137],"through":[138],"their":[139],"manifest":[140],"alone":[142],"only":[144],"reducible":[145],"tensors.":[147],"result":[149],"analytic":[152],"complement":[153],"previous":[155],"numerical":[158],"investigations,":[159],"establishes":[161],"connection":[164],"between":[165],"absence":[167],"breakdown":[173],"Beyond":[177],"specific":[179],"classification":[180],"obtained":[181],"here,":[182],"results":[184],"demonstrate":[185],"potential":[187],"our":[189],"approach":[190],"regarding":[191],"as":[198],"tool":[201],"probing":[203],"Petrov":[207],"I":[209]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-26T00:00:00"}