{"id":"https://openalex.org/W7221024294","doi":"https://doi.org/10.48550/arxiv.2610.09049","title":"Anisotropic Cosmology with Inhomogeneous $SU(2) $ and $SL(2,\\mathbb{R})$ Nonlinear $\u03c3$-Models","display_name":"Anisotropic Cosmology with Inhomogeneous $SU(2) $ and $SL(2,\\mathbb{R})$ Nonlinear $\u03c3$-Models","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7221024294","doi":"https://doi.org/10.48550/arxiv.2610.09049"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.09049","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09049","pdf_url":"https://arxiv.org/pdf/2610.09049","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/2610.09049","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070316024","display_name":"N. Dimakis","orcid":"https://orcid.org/0000-0002-1307-1073","observed_orcids":["https://orcid.org/0000-0002-1307-1073"]},"institutions":[{"id":"https://openalex.org/I11944219","display_name":"Universidad de La Frontera","ror":"https://ror.org/04v0snf24","country_code":"CL","type":"education","lineage":["https://openalex.org/I11944219"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Dimakis, N.","raw_affiliation_strings":["Departamento de Ciencias F\u00edsicas , Universidad de La Frontera , Casilla 54-D , 4811186 Temuco , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencias F\u00edsicas , Universidad de La Frontera , Casilla 54-D , 4811186 Temuco , Chile","institution_ids":["https://openalex.org/I11944219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075761000","display_name":"Alex Giacomini","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16465266","display_name":"Austral University of Chile","ror":"https://ror.org/029ycp228","country_code":"CL","type":"education","lineage":["https://openalex.org/I16465266"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Giacomini, A.","raw_affiliation_strings":["Instituto de Ciencias Fisicas y Matem\u00e1ticas , Universidad Austral de Chile , Valdivia , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Fisicas y Matem\u00e1ticas , Universidad Austral de Chile , Valdivia , Chile","institution_ids":["https://openalex.org/I16465266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157937232","display_name":"G. Leon","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leon, G.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157983891","display_name":"F. Moncada","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2802558902","display_name":"Universidad Cat\u00f3lica de Temuco","ror":"https://ror.org/051nvp675","country_code":"CL","type":"education","lineage":["https://openalex.org/I2802558902"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Moncada, F.","raw_affiliation_strings":["Departamento de Ciencias Matem\u00e1ticas y F\u00edsicas ,","Facultad de Ingenier\u00eda , Universidad Cat\u00f3lica de Temuco , Temuco , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencias Matem\u00e1ticas y F\u00edsicas ,","institution_ids":[]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda , Universidad Cat\u00f3lica de Temuco , Temuco , Chile","institution_ids":["https://openalex.org/I2802558902"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157891143","display_name":"A. Paliathanasis","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paliathanasis, A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9990000128746033,"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":0.9990000128746033,"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":0.00019999999494757503,"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":9.999999747378752e-05,"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/anisotropic-cosmological-models","display_name":"anisotropic cosmology","score":0.8889999985694885},{"id":"https://openalex.org/keywords/nonlinear-sigma-model","display_name":"nonlinear sigma model","score":0.8270000219345093},{"id":"https://openalex.org/keywords/su-2-symmetry","display_name":"SU(2) symmetry","score":0.9369999766349792},{"id":"https://openalex.org/keywords/sl-2-r-symmetry","display_name":"SL(2,R) symmetry","score":0.996999979019165},{"id":"https://openalex.org/keywords/exponential-potential","display_name":"exponential potential","score":0.6769999861717224},{"id":"https://openalex.org/keywords/phase-space-analysis","display_name":"phase space analysis","score":0.8659999966621399},{"id":"https://openalex.org/keywords/critical-points","display_name":"critical points","score":0.6549999713897705},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.6930000185966492},{"id":"https://openalex.org/keywords/slow-roll-inflation","display_name":"slow-roll inflation","score":0.8090000152587891},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.8629999756813049},{"id":"https://openalex.org/keywords/cosmic-acceleration","display_name":"cosmic acceleration","score":0.9879999756813049}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8240000009536743},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.8051999807357788},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.5989999771118164},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.54830002784729},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.5300999879837036},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.5023999810218811},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.45809999108314514},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4546000063419342},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.45339998602867126},{"id":"https://openalex.org/C30864177","wikidata":"https://www.wikidata.org/wiki/Q742982","display_name":"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker metric","level":3,"score":0.421099990606308},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4205000102519989},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.40869998931884766},{"id":"https://openalex.org/C2779228454","wikidata":"https://www.wikidata.org/wiki/Q6410802","display_name":"Kinetic term","level":3,"score":0.39649999141693115},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.361299991607666},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3107999861240387},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2906000018119812},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C2779625871","wikidata":"https://www.wikidata.org/wiki/Q22811512","display_name":"Extra dimensions","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C20892832","wikidata":"https://www.wikidata.org/wiki/Q3271879","display_name":"Circular symmetry","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.25040000677108765},{"id":"https://openalex.org/C2780791080","wikidata":"https://www.wikidata.org/wiki/Q273711","display_name":"Einstein field equations","level":3,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.09049","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09049","pdf_url":"https://arxiv.org/pdf/2610.09049","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.2610.09049","doi":"https://doi.org/10.48550/arxiv.2610.09049","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.09049","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:2610.09049","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09049","pdf_url":"https://arxiv.org/pdf/2610.09049","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/G1701937586","display_name":null,"funder_award_id":"096/2022","funder_id":"https://openalex.org/F4320318900","funder_display_name":"Universidad Cat\u00f3lica del Norte"},{"id":"https://openalex.org/G4586750831","display_name":null,"funder_award_id":"200/2025","funder_id":"https://openalex.org/F4320318900","funder_display_name":"Universidad Cat\u00f3lica del Norte"}],"funders":[{"id":"https://openalex.org/F4320318900","display_name":"Universidad Cat\u00f3lica del Norte","ror":"https://ror.org/02akpm128"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221024294.pdf","grobid_xml":"https://content.openalex.org/works/W7221024294.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4416952956","https://openalex.org/W7204500122"],"related_works":["https://openalex.org/W2045085998","https://openalex.org/W3197944423","https://openalex.org/W4211206975","https://openalex.org/W1987943451","https://openalex.org/W4312181454","https://openalex.org/W1984791072","https://openalex.org/W7011675363","https://openalex.org/W1658767249","https://openalex.org/W3099133559","https://openalex.org/W1978843693"],"abstract_inverted_index":{"We":[0,18,42],"investigate":[1],"the":[2,6,20,23,29,33,48,53,57,63,77,82,97],"cosmological":[3,107],"dynamics":[4],"of":[5,32,39,59,76,105],"nonlinear":[7],"$\u03c3$-model":[8],"in":[9,62],"a":[10,37,73,106],"locally":[11],"rotational":[12],"symmetric":[13],"Bianchi":[14,64],"V":[15,65],"background":[16],"geometry.":[17,66],"employ":[19],"$SU(2)$":[21],"and":[22,85,99],"$SL(2,\\mathbb{R})$":[24],"internal":[25],"symmetries,":[26],"for":[27,47],"which":[28,55],"kinetic":[30],"metric":[31],"multi-scalar":[34],"fields":[35],"is":[36,109],"space":[38],"constant":[40,108],"curvature.":[41],"assume":[43],"an":[44,68],"inhomogeneous":[45],"ansatz":[46],"scalar":[49,92],"fields,":[50],"such":[51],"that":[52],"$\u03c3$-model,":[54],"allows":[56],"existence":[58,104],"nontrivial":[60],"solutions":[61],"For":[67],"exponential":[69],"potential,":[70],"we":[71,80,86],"perform":[72],"detailed":[74],"analysis":[75],"phase":[78],"space,":[79],"determine":[81],"stationary":[83],"points,":[84],"study":[87],"their":[88],"stability":[89],"properties.":[90],"The":[91,103],"field":[93],"inhomogeneities":[94],"prevent":[95],"both":[96],"slow-roll":[98],"hyperbolic":[100],"inflationary":[101],"epochs.":[102],"required":[110],"to":[111],"describe":[112],"cosmic":[113],"acceleration.":[114]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
