{"id":"https://openalex.org/W4321093357","doi":"https://doi.org/10.3390/sym15020529","title":"Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology","display_name":"Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology","publication_year":2023,"publication_date":"2023-02-16","ids":{"openalex":"https://openalex.org/W4321093357","doi":"https://doi.org/10.3390/sym15020529"},"language":"en","primary_location":{"id":"doi:10.3390/sym15020529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020529","pdf_url":"https://www.mdpi.com/2073-8994/15/2/529/pdf?version=1676538830","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/2/529/pdf?version=1676538830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077055758","display_name":"Andronikos Paliathanasis","orcid":"https://orcid.org/0000-0002-9966-5517"},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]},{"id":"https://openalex.org/I2802166871","display_name":"Universidad Cat\u00f3lica del Norte","ror":"https://ror.org/02akpm128","country_code":"CL","type":"education","lineage":["https://openalex.org/I2802166871"]}],"countries":["CL","ZA"],"is_corresponding":true,"raw_author_name":"Andronikos Paliathanasis","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Cat\u00f3lica del Norte, Avda. Angamos 0610, Casilla, Antofagasta 1280, Chile","Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa"],"raw_orcid":"https://orcid.org/0000-0002-9966-5517","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Cat\u00f3lica del Norte, Avda. Angamos 0610, Casilla, Antofagasta 1280, Chile","institution_ids":["https://openalex.org/I2802166871"]},{"raw_affiliation_string":"Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa","institution_ids":["https://openalex.org/I177181097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077055758"],"corresponding_institution_ids":["https://openalex.org/I177181097","https://openalex.org/I2802166871"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.3755,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79511991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"2","first_page":"529","last_page":"529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":1.0,"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":1.0,"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":0.9995999932289124,"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":0.9994999766349792,"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/homothetic-transformation","display_name":"Homothetic transformation","score":0.8398131132125854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.7405083775520325},{"id":"https://openalex.org/keywords/cosmology","display_name":"Cosmology","score":0.6714022159576416},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.5973273515701294},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5944809317588806},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5660094022750854},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5307020545005798},{"id":"https://openalex.org/keywords/friedmann\u2013lema\u00eetre\u2013robertson\u2013walker-metric","display_name":"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker metric","score":0.5084027647972107},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49155768752098083},{"id":"https://openalex.org/keywords/friedmann-equations","display_name":"Friedmann equations","score":0.470554381608963},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.44684144854545593},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.440936803817749},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4284447431564331},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.41495972871780396},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41031134128570557},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.17301172018051147},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.16582024097442627},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12457004189491272},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12337511777877808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11333230137825012},{"id":"https://openalex.org/keywords/dark-energy","display_name":"Dark energy","score":0.10362312197685242}],"concepts":[{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.8398131132125854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7405083775520325},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.6714022159576416},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5973273515701294},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5944809317588806},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5660094022750854},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5307020545005798},{"id":"https://openalex.org/C30864177","wikidata":"https://www.wikidata.org/wiki/Q742982","display_name":"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker metric","level":3,"score":0.5084027647972107},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49155768752098083},{"id":"https://openalex.org/C85405196","wikidata":"https://www.wikidata.org/wiki/Q467736","display_name":"Friedmann equations","level":4,"score":0.470554381608963},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.44684144854545593},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.440936803817749},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4284447431564331},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.41495972871780396},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41031134128570557},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.17301172018051147},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.16582024097442627},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12457004189491272},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12337511777877808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11333230137825012},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.10362312197685242},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15020529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020529","pdf_url":"https://www.mdpi.com/2073-8994/15/2/529/pdf?version=1676538830","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6915d2f9da3d48acb1ca1e288dd6fdb7","is_oa":false,"landing_page_url":"https://doaj.org/article/6915d2f9da3d48acb1ca1e288dd6fdb7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 2, p 529 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/2/529/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15020529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15020529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020529","pdf_url":"https://www.mdpi.com/2073-8994/15/2/529/pdf?version=1676538830","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4321093357.pdf"},"referenced_works_count":71,"referenced_works":["https://openalex.org/W649548864","https://openalex.org/W1554263782","https://openalex.org/W1565219082","https://openalex.org/W1598696203","https://openalex.org/W1791150725","https://openalex.org/W1841284891","https://openalex.org/W1853767801","https://openalex.org/W1971230011","https://openalex.org/W1989589910","https://openalex.org/W1991080820","https://openalex.org/W1993929115","https://openalex.org/W2004188331","https://openalex.org/W2025899301","https://openalex.org/W2035651747","https://openalex.org/W2073832139","https://openalex.org/W2075234909","https://openalex.org/W2078125471","https://openalex.org/W2078896402","https://openalex.org/W2098593734","https://openalex.org/W2102716046","https://openalex.org/W2115593461","https://openalex.org/W2116312019","https://openalex.org/W2120914587","https://openalex.org/W2139937287","https://openalex.org/W2140756509","https://openalex.org/W2145539935","https://openalex.org/W2165724764","https://openalex.org/W2216294249","https://openalex.org/W2318111158","https://openalex.org/W2480130372","https://openalex.org/W2573677373","https://openalex.org/W2621229679","https://openalex.org/W2755277709","https://openalex.org/W2952743120","https://openalex.org/W2954870951","https://openalex.org/W2961693532","https://openalex.org/W3097927837","https://openalex.org/W3099661019","https://openalex.org/W3100626482","https://openalex.org/W3101702999","https://openalex.org/W3102549303","https://openalex.org/W3102687315","https://openalex.org/W3103481935","https://openalex.org/W3105647117","https://openalex.org/W3138003321","https://openalex.org/W3139201783","https://openalex.org/W3141893859","https://openalex.org/W3155268695","https://openalex.org/W3158107606","https://openalex.org/W3158924858","https://openalex.org/W3173594637","https://openalex.org/W3195535444","https://openalex.org/W4205513900","https://openalex.org/W4205607678","https://openalex.org/W4206430598","https://openalex.org/W4206655349","https://openalex.org/W4206970672","https://openalex.org/W4214727483","https://openalex.org/W4224873304","https://openalex.org/W4225103711","https://openalex.org/W4280490903","https://openalex.org/W4280567349","https://openalex.org/W4282813529","https://openalex.org/W4289781003","https://openalex.org/W4296778036","https://openalex.org/W4306632275","https://openalex.org/W4307854763","https://openalex.org/W4308713514","https://openalex.org/W4311399201","https://openalex.org/W4313501776","https://openalex.org/W6635770133"],"related_works":["https://openalex.org/W2775404621","https://openalex.org/W3011386895","https://openalex.org/W4232074153","https://openalex.org/W3004914132","https://openalex.org/W3140100846","https://openalex.org/W2275690795","https://openalex.org/W2141079330","https://openalex.org/W1998618626","https://openalex.org/W4302980744","https://openalex.org/W4293832384"],"abstract_inverted_index":{"Self-similar":[0],"cosmological":[1,23,27,51],"solutions":[2,16,28,52],"correspond":[3],"to":[4,55],"spacetimes":[5],"that":[6],"admit":[7],"a":[8],"homothetic":[9],"symmetry.":[10],"The":[11],"physical":[12],"properties":[13,47,66,95],"of":[14,21,38,48,59,67,96],"self-similar":[15,26,50],"can":[17],"describe":[18],"important":[19],"eras":[20],"the":[22,45,49,57,60,64,68,72,77,82,93],"evolution.":[24],"Recently,":[25],"were":[29],"derived":[30],"for":[31,89],"symmetric":[32],"teleparallel":[33],"fQ-theory":[34],"with":[35],"different":[36,61],"types":[37],"connections.":[39],"In":[40],"this":[41],"work,":[42],"we":[43,75,91],"study":[44],"stability":[46,65,94],"in":[53],"order":[54],"investigate":[56,92],"effects":[58],"connections":[62],"on":[63],"cosmic":[69],"history.":[70],"For":[71],"background":[73],"geometry,":[74],"consider":[76],"isotropic":[78],"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker":[79],"space":[80],"and":[81,84],"anisotropic":[83],"homogeneous":[85],"Bianchi":[86],"I":[87],"space,":[88],"which":[90],"Kasner-like":[97],"universes.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
