{"id":"https://openalex.org/W7119251407","doi":null,"title":"Study of spherically symmetric solutions in extended theories of gravitation","display_name":"Study of spherically symmetric solutions in extended theories of gravitation","publication_year":2020,"publication_date":"2020-12-21","ids":{"openalex":"https://openalex.org/W7119251407"},"language":"pt","primary_location":{"id":"pmh:oai:repositorio.ufes.br:10/15256","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/15256","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repositorio.ufes.br/handle/10/15256","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022665254","display_name":"Denis C. Rodrigues","orcid":"https://orcid.org/0000-0002-9975-4317","observed_orcids":["https://orcid.org/0000-0002-9975-4317"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rodrigues, Denis Campos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5022665254"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.9345999956130981,"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":0.9345999956130981,"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":0.03229999914765358,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.013799999840557575,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/k-essence","display_name":"k-essence","score":0.8709999918937683},{"id":"https://openalex.org/keywords/rastall-gravity","display_name":"Rastall gravity","score":0.9819999933242798},{"id":"https://openalex.org/keywords/spherically-symmetric-solutions","display_name":"spherically symmetric solutions","score":0.9300000071525574},{"id":"https://openalex.org/keywords/static-spacetimes","display_name":"static spacetimes","score":0.6669999957084656},{"id":"https://openalex.org/keywords/black-holes","display_name":"black holes","score":0.5199999809265137},{"id":"https://openalex.org/keywords/wormholes","display_name":"wormholes","score":0.9850000143051147},{"id":"https://openalex.org/keywords/singularities","display_name":"singularities","score":0.6759999990463257},{"id":"https://openalex.org/keywords/rotating-black-holes","display_name":"rotating black holes","score":0.8880000114440918},{"id":"https://openalex.org/keywords/steady-state-solutions","display_name":"stationary solutions","score":0.5299999713897705},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.5509999990463257},{"id":"https://openalex.org/keywords/inflation-cosmology","display_name":"inflation (cosmology)","score":0.42800000309944153},{"id":"https://openalex.org/keywords/neutron-stars","display_name":"neutron stars","score":0.6309999823570251},{"id":"https://openalex.org/keywords/solution-stability","display_name":"solution stability","score":0.671999990940094}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.642799973487854},{"id":"https://openalex.org/C2779228454","wikidata":"https://www.wikidata.org/wiki/Q6410802","display_name":"Kinetic term","level":3,"score":0.5188000202178955},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.486299991607666},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.45840001106262207},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4156999886035919},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4074999988079071},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.37389999628067017},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3450999855995178},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33399999141693115},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C19979193","wikidata":"https://www.wikidata.org/wiki/Q25100325","display_name":"Kinetic theory","level":2,"score":0.2896000146865845},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C141629334","wikidata":"https://www.wikidata.org/wiki/Q3266751","display_name":"f(R) gravity","level":4,"score":0.2689000070095062},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:repositorio.ufes.br:10/15256","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/15256","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"}],"best_oa_location":{"id":"pmh:oai:repositorio.ufes.br:10/15256","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/15256","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2583040787","https://openalex.org/W3097989500","https://openalex.org/W3038235835","https://openalex.org/W3132109481","https://openalex.org/W2969298525","https://openalex.org/W3163776793","https://openalex.org/W2537608830","https://openalex.org/W4402702853","https://openalex.org/W2998781752","https://openalex.org/W2593245335"],"abstract_inverted_index":{"The":[0,112,180],"k-essence":[1,164],"theory":[2,17,59,74],"is":[3,50,60,115,222,243,276],"characterized":[4],"by":[5,245],"a":[6,13,51,141,188,195,236,246],"function":[7],"of":[8,12,43,57,88,91,97,157,160,197,219,223,265,283],"the":[9,33,40,44,67,80,85,89,95,100,132,155,158,161,177,217,263,281],"kinetic":[10],"term":[11],"scalar":[14],"field.":[15],"This":[16],"was":[18],"widely":[19],"applied":[20],"in":[21,28,71,84,103,125,134,145,163,187,214],"cosmology,":[22,72],"suggested":[23],"as":[24],"dark":[25],"energy":[26],"and":[27,127,165,190,204,249],"an":[29],"attempt":[30,181],"to":[31,76,79,138,143,182,256],"explain":[32],"inflationary":[34],"period.":[35],"Rastall\u2019s":[36,73,110],"gravity":[37],"originates":[38],"from":[39,66],"non-zero":[41],"divergence":[42],"energy-moment":[45],"tensor,":[46],"that":[47,61,169,268],"is,":[48],"it":[49,62,253],"non-conservative":[52],"theory.":[53,111],"Another":[54],"important":[55],"feature":[56],"this":[58,139,250,261,284],"does":[63],"not":[64,174],"originate":[65],"variational":[68],"principle.":[69],"However,":[70,154,226],"leads":[75],"results":[77,101],"similar":[78],"#CMD,":[81],"differing":[82],"only":[83],"nonlinear":[86],"regime":[87],"evolution":[90],"cosmic":[92],"perturbations.":[93],"In":[94,260],"context":[96],"compact":[98],"objects,":[99],"obtained":[102],"neutron":[104],"stars":[105],"are":[106,120,131,210],"quite":[107,235],"interesting":[108],"using":[109],"big":[113],"surprise":[114],"that,":[116],"even":[117,205],"though":[118],"theories":[119,150,172],"so":[121,216],"different,":[122],"their":[123],"solutions":[124,162,186,199,232,272,275],"static":[126,189,271],"spherically":[128,191],"symmetrical":[129],"spacetime":[130],"same,":[133],"some":[135],"cases.":[136],"Due":[137],"fact,":[140],"study":[142,156,218],"investigate":[144],"which":[146],"situations":[147],"these":[148,170,220],"two":[149,171],"can":[151,233],"be":[152,234],"dual.":[153],"stability":[159],"Rastall":[166],"show":[167],"us":[168],"do":[173],"coincide":[175],"at":[176],"perturbation":[178],"level.":[179],"find":[183],"new":[184,198,228],"dilatonic":[185],"symmetric":[192],"geometry":[193],"revealed":[194],"set":[196],"for":[200],"black":[201,208,230,241],"holes,":[202],"wormholes":[203],"singularities.":[206],"Rotating":[207],"holes":[209],"astrophysical":[211],"objects":[212,221],"found":[213],"nature,":[215],"great":[224],"importance.":[225],"finding":[227],"rotating":[229,240],"hole":[231,242],"difficult":[237,255],"task.":[238],"A":[239],"described":[244],"stationary":[247,274],"metric":[248],"fact":[251],"makes":[252],"more":[254],"solve":[257],"Einstein\u2019s":[258],"equations.":[259],"sense,":[262],"use":[264],"mathematical":[266],"methods":[267],"convert":[269],"known":[270],"into":[273],"welcome.":[277],"We":[278],"will":[279],"discuss":[280],"viability":[282],"process.":[285]},"counts_by_year":[],"updated_date":"2026-10-03T13:16:28.481748","created_date":"2026-01-08T00:00:00"}