{"id":"https://openalex.org/W2412769666","doi":"https://doi.org/10.3390/sym8070057","title":"k-Essence Non-Minimally Coupled with Gauss\u2013Bonnet Invariant for Inflation","display_name":"k-Essence Non-Minimally Coupled with Gauss\u2013Bonnet Invariant for Inflation","publication_year":2016,"publication_date":"2016-06-28","ids":{"openalex":"https://openalex.org/W2412769666","doi":"https://doi.org/10.3390/sym8070057","mag":"2412769666"},"language":"en","primary_location":{"id":"doi:10.3390/sym8070057","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8070057","pdf_url":"https://www.mdpi.com/2073-8994/8/7/57/pdf?version=1467119351","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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/8/7/57/pdf?version=1467119351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ratbay Myrzakulov","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":true,"raw_author_name":"Ratbay Myrzakulov","raw_affiliation_strings":["Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lorenzo Sebastiani","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Lorenzo Sebastiani","raw_affiliation_strings":["Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of General & Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I10232997"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7567,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76993098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"7","first_page":"57","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9853000044822693,"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":0.9853000044822693,"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":0.0026000000070780516,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/spectral-index","display_name":"Spectral index","score":0.7414000034332275},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.7060999870300293},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5759000182151794},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5303999781608582},{"id":"https://openalex.org/keywords/inflation","display_name":"Inflation (cosmology)","score":0.5095000267028809},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43320000171661377},{"id":"https://openalex.org/keywords/spectral-properties","display_name":"Spectral properties","score":0.4099999964237213},{"id":"https://openalex.org/keywords/slow-roll","display_name":"Slow roll","score":0.32829999923706055}],"concepts":[{"id":"https://openalex.org/C42061751","wikidata":"https://www.wikidata.org/wiki/Q2280060","display_name":"Spectral index","level":3,"score":0.7414000034332275},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.7060999870300293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6643000245094299},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5759000182151794},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5303999781608582},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.5095000267028809},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.46389999985694885},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43320000171661377},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.4099999964237213},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3409000039100647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3312000036239624},{"id":"https://openalex.org/C2777409547","wikidata":"https://www.wikidata.org/wiki/Q17105846","display_name":"Slow roll","level":4,"score":0.32829999923706055},{"id":"https://openalex.org/C36963468","wikidata":"https://www.wikidata.org/wiki/Q4356867","display_name":"Inflationary epoch","level":5,"score":0.3174000084400177},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2924000024795532},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2685999870300293},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.25699999928474426},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym8070057","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8070057","pdf_url":"https://www.mdpi.com/2073-8994/8/7/57/pdf?version=1467119351","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:arXiv.org:1606.00711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1606.00711","pdf_url":"https://arxiv.org/pdf/1606.00711","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:oai:doaj.org/article:0c14a8190cd645e1ad384f77b2d1d369","is_oa":true,"landing_page_url":"https://doaj.org/article/0c14a8190cd645e1ad384f77b2d1d369","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 8, Iss 7, p 57 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/8/7/57/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym8070057","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; Volume 8; Issue 7; Pages: 57","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym8070057","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8070057","pdf_url":"https://www.mdpi.com/2073-8994/8/7/57/pdf?version=1467119351","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2412769666.pdf","grobid_xml":"https://content.openalex.org/works/W2412769666.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1569511886","https://openalex.org/W1751180851","https://openalex.org/W1791150725","https://openalex.org/W1838110310","https://openalex.org/W1946398615","https://openalex.org/W1963890231","https://openalex.org/W1965720145","https://openalex.org/W1970073840","https://openalex.org/W1971230011","https://openalex.org/W1973861971","https://openalex.org/W1988972556","https://openalex.org/W1993178879","https://openalex.org/W1997028279","https://openalex.org/W2000797547","https://openalex.org/W2003308565","https://openalex.org/W2009005268","https://openalex.org/W2012869970","https://openalex.org/W2019306460","https://openalex.org/W2036482104","https://openalex.org/W2039561427","https://openalex.org/W2058856548","https://openalex.org/W2062912482","https://openalex.org/W2075234909","https://openalex.org/W2089233784","https://openalex.org/W2091262560","https://openalex.org/W2094249985","https://openalex.org/W2103022510","https://openalex.org/W2115120324","https://openalex.org/W2117282617","https://openalex.org/W2126951064","https://openalex.org/W2127778793","https://openalex.org/W2137339392","https://openalex.org/W2141564053","https://openalex.org/W2171957754","https://openalex.org/W2185411337","https://openalex.org/W2187914250","https://openalex.org/W2195923470","https://openalex.org/W2259378207","https://openalex.org/W2262339353","https://openalex.org/W2297068129","https://openalex.org/W2324533526","https://openalex.org/W2342364823","https://openalex.org/W2367519860","https://openalex.org/W2527938812","https://openalex.org/W2593283684","https://openalex.org/W2949588884","https://openalex.org/W3037516327","https://openalex.org/W3038026342","https://openalex.org/W4234110762","https://openalex.org/W4256093087","https://openalex.org/W4298859144","https://openalex.org/W6986417728"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"investigated":[4],"inflationary":[5],"solutions":[6],"for":[7],"a":[8,14,45],"subclass":[9],"of":[10,25],"Horndeski":[11],"models":[12],"where":[13],"scalar":[15,27],"field":[16,28],"is":[17,59],"non-minimally":[18],"coupled":[19],"with":[20],"the":[21,33,42,52,56],"Gauss\u2013Bonnet":[22],"invariant.":[23],"Examples":[24],"canonical":[26],"and":[29,49,55],"k-essence":[30],"to":[31,40,50],"support":[32],"early-time":[34],"acceleration":[35],"are":[36],"considered.":[37],"The":[38],"formalism":[39],"calculate":[41],"perturbations":[43],"in":[44],"Friedmann\u2013Robertson\u2013Walker":[46],"(FRW)":[47],"universe":[48],"derive":[51],"spectral":[53],"index":[54],"tensor-to-scalar":[57],"ratio":[58],"furnished.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":4}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}