{"id":"https://openalex.org/W4416620217","doi":"https://doi.org/10.1140/epjc/s10052-026-16043-x","title":"Quasinormal modes of a charged spherically symmetric black hole in bumblebee gravity","display_name":"Quasinormal modes of a charged spherically symmetric black hole in bumblebee gravity","publication_year":2026,"publication_date":"2026-08-18","ids":{"openalex":"https://openalex.org/W4416620217","doi":"https://doi.org/10.1140/epjc/s10052-026-16043-x"},"language":"en","primary_location":{"id":"doi:10.1140/epjc/s10052-026-16043-x","doi":"https://doi.org/10.1140/epjc/s10052-026-16043-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16043-x","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16043-x.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/s10052-026-16043-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035995869","display_name":"Baojiu Li","orcid":"https://orcid.org/0000-0002-1098-9188","observed_orcids":["https://orcid.org/0000-0002-1098-9188","https://orcid.org/0009-0003-8012-3245"]},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo-Rui Li","raw_affiliation_strings":["Lanzhou University"],"raw_orcid":"https://orcid.org/0009-0003-8012-3245","affiliations":[{"raw_affiliation_string":"Lanzhou University","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069719355","display_name":"Jia-Zhou Liu","orcid":"https://orcid.org/0009-0005-5430-4258","observed_orcids":["https://orcid.org/0009-0005-5430-4258"]},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia-Zhou Liu","raw_affiliation_strings":["Lanzhou University"],"raw_orcid":"https://orcid.org/0009-0005-5430-4258","affiliations":[{"raw_affiliation_string":"Lanzhou University","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102849614","display_name":"Wen-Di Guo","orcid":"https://orcid.org/0000-0003-2145-6587","observed_orcids":["https://orcid.org/0000-0003-2145-6587"]},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen-Di Guo","raw_affiliation_strings":["Lanzhou University"],"raw_orcid":"https://orcid.org/0000-0003-2145-6587","affiliations":[{"raw_affiliation_string":"Lanzhou University","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012340027","display_name":"Yu-Xiao Liu","orcid":"https://orcid.org/0000-0002-4117-4176","observed_orcids":["https://orcid.org/0000-0002-4117-4176","https://orcid.org/0009-0008-7202-0031"]},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu-Xiao Liu","raw_affiliation_strings":["Lanzhou University"],"raw_orcid":"https://orcid.org/0000-0002-4117-4176","affiliations":[{"raw_affiliation_string":"Lanzhou University","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012340027","https://openalex.org/A5102849614"],"corresponding_institution_ids":["https://openalex.org/I76214153"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":10.5764,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.98165312,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"86","issue":"8","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":0.8773999810218811,"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":0.8773999810218811,"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":0.07970000058412552,"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":0.01810000091791153,"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":0.9929999709129333},{"id":"https://openalex.org/keywords/bumblebee-gravity","display_name":"bumblebee gravity","score":0.9290000200271606},{"id":"https://openalex.org/keywords/lorentz-violation","display_name":"Lorentz violation","score":0.8320000171661377},{"id":"https://openalex.org/keywords/charged-black-holes","display_name":"charged black holes","score":0.8930000066757202},{"id":"https://openalex.org/keywords/reissner-nordstrom-black-hole","display_name":"Reissner-Nordstr\u00f6m black hole","score":0.9089999794960022},{"id":"https://openalex.org/keywords/non-minimal-coupling","display_name":"non-minimal coupling","score":0.9459999799728394},{"id":"https://openalex.org/keywords/gravitational-wave-ringdown","display_name":"gravitational-wave ringdown","score":0.699999988079071},{"id":"https://openalex.org/keywords/continued-fraction-algorithm","display_name":"continued fraction method","score":0.597000002861023},{"id":"https://openalex.org/keywords/asymptotic-iteration-method","display_name":"asymptotic iteration method","score":0.9660000205039978}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8567000031471252},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.660099983215332},{"id":"https://openalex.org/C20892832","wikidata":"https://www.wikidata.org/wiki/Q3271879","display_name":"Circular symmetry","level":2,"score":0.5795000195503235},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4934999942779541},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4542999863624573},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4422000050544739},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.4352000057697296},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4034999907016754},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.3919000029563904},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C71993908","wikidata":"https://www.wikidata.org/wiki/Q1093427","display_name":"Lorentz covariance","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C104062141","wikidata":"https://www.wikidata.org/wiki/Q2601295","display_name":"Extremal black hole","level":3,"score":0.2709999978542328}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1140/epjc/s10052-026-16043-x","doi":"https://doi.org/10.1140/epjc/s10052-026-16043-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16043-x","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16043-x.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:2510.20503","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.20503","pdf_url":"https://arxiv.org/pdf/2510.20503","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:edpsciences.org:dkey/10.1140/epjc/s10052-026-16043-x","doi":null,"is_oa":false,"landing_page_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epjc/s10052-026-16043-x","pdf_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epjc/s10052-026-16043-x","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1140/epjc/s10052-026-16043-x","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:521603367bf045f49994253f91fcc22a","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/521603367bf045f49994253f91fcc22a","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Physical Journal C: Particles and Fields, Vol 86, Iss 8 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2510.20503","doi":"https://doi.org/10.48550/arxiv.2510.20503","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.20503","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":"doi:10.1140/epjc/s10052-026-16043-x","doi":"https://doi.org/10.1140/epjc/s10052-026-16043-x","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-026-16043-x","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16043-x.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/G1383702370","display_name":null,"funder_award_id":"12205129","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1507536813","display_name":null,"funder_award_id":"2021YFC2203003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1982955398","display_name":null,"funder_award_id":"12475056","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G234809855","display_name":null,"funder_award_id":"12475056","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2940728274","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G4221915765","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G4299432655","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G4866298534","display_name":null,"funder_award_id":"2021YFC2203003","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5036780648","display_name":null,"funder_award_id":"12475056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5612689017","display_name":null,"funder_award_id":"12205129","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6506214067","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7528870553","display_name":null,"funder_award_id":"12475056","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G7547793799","display_name":null,"funder_award_id":"2021YFC2203003","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G7735526052","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G7768631080","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G7900980316","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8417909865","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G8520001301","display_name":null,"funder_award_id":"2021YFC2203003","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G8805052026","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8981695096","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program 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/F4320322880","display_name":"Natural Science Foundation of Gansu Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320336698","display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416620217.pdf","grobid_xml":"https://content.openalex.org/works/W4416620217.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3162324281","https://openalex.org/W4416724027","https://openalex.org/W4414385520","https://openalex.org/W2902820205","https://openalex.org/W4385726950","https://openalex.org/W4415955459","https://openalex.org/W7160264292","https://openalex.org/W3132087129","https://openalex.org/W4386826866","https://openalex.org/W4401618765"],"abstract_inverted_index":{"Abstract":[0],"Lorentz":[1,25],"symmetry":[2],"may":[3],"be":[4],"violated":[5],"at":[6],"the":[7,11,43,52,62,66,87],"Planck":[8],"scale.":[9],"In":[10],"bumblebee":[12],"model,":[13],"a":[14,18,32],"vector":[15],"field":[16],"acquires":[17],"nonzero":[19],"vacuum":[20],"expectation":[21],"value,":[22],"spontaneously":[23],"breaking":[24],"symmetry.":[26],"We":[27],"study":[28],"quasinormal":[29],"modes":[30,73],"of":[31,69],"charged":[33],"spherically":[34],"symmetric":[35],"black":[36],"hole":[37],"in":[38,74,86],"this":[39],"framework,":[40],"focusing":[41],"on":[42],"coupled":[44],"gravito-electromagnetic":[45],"perturbations":[46],"induced":[47],"by":[48],"nonminimal":[49],"coupling.":[50],"Using":[51],"continued":[53],"fraction":[54],"and":[55,71],"asymptotic":[56],"iteration":[57],"methods,":[58],"we":[59],"find":[60],"that":[61,83],"Lorentz-violating":[63],"parameter":[64],"shifts":[65],"real":[67],"frequencies":[68],"gravitationally-dominated":[70],"electromagnetically-dominated":[72],"opposite":[75],"directions.":[76],"The":[77],"results":[78],"reveal":[79],"mixed":[80],"excitation":[81],"channels":[82],"are":[84],"absent":[85],"standard":[88],"Reissner\u2013Nordstr\u00f6m":[89],"limit,":[90],"offering":[91],"potential":[92],"targets":[93],"for":[94],"future":[95],"gravitational-wave":[96],"ringdown":[97],"observations.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":5}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2025-10-25T00:00:00"}
