{"id":"https://openalex.org/W4318336293","doi":"https://doi.org/10.1140/epjc/s10052-023-11231-5","title":"QNMs of slowly rotating Einstein\u2013Bumblebee black hole","display_name":"QNMs of slowly rotating Einstein\u2013Bumblebee black hole","publication_year":2023,"publication_date":"2023-01-28","ids":{"openalex":"https://openalex.org/W4318336293","doi":"https://doi.org/10.1140/epjc/s10052-023-11231-5"},"language":"en","primary_location":{"id":"doi:10.1140/epjc/s10052-023-11231-5","doi":"https://doi.org/10.1140/epjc/s10052-023-11231-5","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-023-11231-5","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11231-5.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11231-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100451428","display_name":"Wentao Liu","orcid":"https://orcid.org/0000-0003-4623-0293","observed_orcids":["https://orcid.org/0000-0003-4623-0293","https://orcid.org/0009-0008-9257-8155"]},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wentao Liu","raw_affiliation_strings":["Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072978576","display_name":"Xiongjun Fang","orcid":"https://orcid.org/0000-0002-4270-3332","observed_orcids":["https://orcid.org/0000-0002-4270-3332"]},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiongjun Fang","raw_affiliation_strings":["Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058364593","display_name":"Jiliang Jing","orcid":"https://orcid.org/0000-0002-2803-7900","observed_orcids":["https://orcid.org/0000-0002-2803-7900"]},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiliang Jing","raw_affiliation_strings":["Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010785831","display_name":"Jieci Wang","orcid":"https://orcid.org/0000-0001-5072-3096","observed_orcids":["https://orcid.org/0000-0001-5072-3096"]},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jieci Wang","raw_affiliation_strings":["Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072978576"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":6.5377,"has_fulltext":true,"cited_by_count":100,"citation_normalized_percentile":{"value":0.99287504,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"83","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9603999853134155,"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"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9603999853134155,"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":0.009399999864399433,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.008299999870359898,"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/quasinormal-modes","display_name":"quasinormal modes","score":0.9990000128746033},{"id":"https://openalex.org/keywords/slowly-rotating-black-holes","display_name":"slowly rotating black holes","score":0.8820000290870667},{"id":"https://openalex.org/keywords/lorentz-violation","display_name":"Lorentz violation","score":0.9869999885559082},{"id":"https://openalex.org/keywords/scalar-perturbations","display_name":"scalar perturbations","score":0.9020000100135803},{"id":"https://openalex.org/keywords/vector-field-perturbations","display_name":"vector field perturbations","score":0.9959999918937683},{"id":"https://openalex.org/keywords/master-equation","display_name":"master equation","score":0.7419999837875366},{"id":"https://openalex.org/keywords/black-hole-perturbations","display_name":"black hole perturbations","score":0.6050000190734863}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7225590944290161},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6549429893493652},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5452315807342529},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.4605734348297119},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.45042359828948975},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.442740261554718},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.42747583985328674},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4208594560623169},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37752699851989746},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23953622579574585},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13355407118797302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0923546850681305}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1140/epjc/s10052-023-11231-5","doi":"https://doi.org/10.1140/epjc/s10052-023-11231-5","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-023-11231-5","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11231-5.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2211.03156","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.03156","pdf_url":"https://arxiv.org/pdf/2211.03156","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":"pmh:oai:doaj.org/article:d8c67eed43df4811a13f70f859ee09ba","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/d8c67eed43df4811a13f70f859ee09ba","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,"listed_in":[],"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":"European Physical Journal C: Particles and Fields, Vol 83, Iss 1, Pp 1-16 (2023)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2211.03156","doi":"https://doi.org/10.48550/arxiv.2211.03156","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2211.03156","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1140/epjc/s10052-023-11231-5","doi":"https://doi.org/10.1140/epjc/s10052-023-11231-5","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-023-11231-5","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11231-5.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G583774791","display_name":null,"funder_award_id":"2022JJ40262","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6452289772","display_name":null,"funder_award_id":"12035005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7370754037","display_name":null,"funder_award_id":"12122504","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8340531198","display_name":null,"funder_award_id":"11705053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4318336293.pdf","grobid_xml":"https://content.openalex.org/works/W4318336293.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1737590327","https://openalex.org/W1965184354","https://openalex.org/W1969566525","https://openalex.org/W1973470492","https://openalex.org/W1974130145","https://openalex.org/W1983163427","https://openalex.org/W1988281968","https://openalex.org/W2004014341","https://openalex.org/W2007071575","https://openalex.org/W2007618634","https://openalex.org/W2007788235","https://openalex.org/W2009693374","https://openalex.org/W2028483511","https://openalex.org/W2029788031","https://openalex.org/W2037097324","https://openalex.org/W2040216147","https://openalex.org/W2048529581","https://openalex.org/W2055447876","https://openalex.org/W2069651370","https://openalex.org/W2084112609","https://openalex.org/W2084933039","https://openalex.org/W2088714348","https://openalex.org/W2117470460","https://openalex.org/W2128358553","https://openalex.org/W2128718137","https://openalex.org/W2128828294","https://openalex.org/W2168865680","https://openalex.org/W2170041426","https://openalex.org/W2175261241","https://openalex.org/W2231773349","https://openalex.org/W2541212547","https://openalex.org/W2552574920","https://openalex.org/W2594004064","https://openalex.org/W2599575748","https://openalex.org/W2767557857","https://openalex.org/W2796091045","https://openalex.org/W2799104913","https://openalex.org/W2806223628","https://openalex.org/W2888924520","https://openalex.org/W2902255543","https://openalex.org/W2920975285","https://openalex.org/W2978917241","https://openalex.org/W3011610535","https://openalex.org/W3045437525","https://openalex.org/W3092596371","https://openalex.org/W3108199248","https://openalex.org/W3134684111","https://openalex.org/W4200381392","https://openalex.org/W4210660442","https://openalex.org/W4220970957","https://openalex.org/W4225163063","https://openalex.org/W4282936148","https://openalex.org/W4313324206","https://openalex.org/W4315779867"],"related_works":["https://openalex.org/W4416075761","https://openalex.org/W4414385520","https://openalex.org/W7134112828","https://openalex.org/W3162324281","https://openalex.org/W4415955459","https://openalex.org/W7141262244","https://openalex.org/W4386826866","https://openalex.org/W4416620217","https://openalex.org/W4401055436","https://openalex.org/W4386807457"],"abstract_inverted_index":{"Abstract":[0],"We":[1,20],"have":[2,83],"studied":[3],"the":[4,22,27,32,37,51,55,62,73,77,97,105,109,119,123,131,135,147],"quasinormal":[5],"modes":[6],"(QNMs)":[7],"of":[8,26,80,108,122,133,145],"a":[9,101,114,151],"slowly":[10],"rotating":[11,28],"black":[12,29],"hole":[13,30],"with":[14],"Lorentz-violating":[15,98,136],"parameter":[16,82,99,137,149],"in":[17,31],"Einstein\u2013Bumblebee":[18,33],"gravity.":[19],"analyse":[21],"slow":[23],"rotation":[24,81,148],"approximation":[25],"gravity,":[34],"and":[35,45,54,94],"obtain":[36],"master":[38],"equations":[39],"for":[40,67,91,127],"scalar":[41,68,93],"perturbation,":[42,48,130],"vector":[43,95],"perturbation":[44],"axial":[46,128],"gravitational":[47,129],"respectively.":[49],"Using":[50],"matrix":[52],"method":[53],"continuous":[56],"fraction":[57],"method,":[58],"we":[59],"numerically":[60],"calculate":[61],"QNM":[63,110,124],"frequencies.":[64,125],"In":[65],"particular,":[66],"field,":[69],"it":[70],"shows":[71],"that":[72,144],"QNMs":[74],"up":[75],"to":[76,143],"second":[78],"order":[79],"higher":[84],"accuracy.":[85],"The":[86],"numerical":[87],"results":[88],"show":[89],"that,":[90],"both":[92],"fields,":[96],"has":[100],"significant":[102],"effect":[103,132],"on":[104,118],"imaginary":[106],"part":[107,121],"frequencies,":[111],"while":[112],"having":[113],"relatively":[115],"smaller":[116],"impact":[117],"real":[120],"But":[126],"increasing":[134,146],"$$\\ell":[138],"$$":[139],"\u2113":[140],"is":[141],"similar":[142],"$${\\tilde{a}}$$":[150],"~":[152],".":[153]},"counts_by_year":[{"year":2026,"cited_by_count":36},{"year":2025,"cited_by_count":33},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":11}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-01-28T00:00:00"}
