{"id":"https://openalex.org/W7222348717","doi":"https://doi.org/10.48550/arxiv.2610.18952","title":"Nonlinear Perturbations of Relativistic Stars","display_name":"Nonlinear Perturbations of Relativistic Stars","publication_year":2026,"publication_date":"2026-10-13","ids":{"openalex":"https://openalex.org/W7222348717","doi":"https://doi.org/10.48550/arxiv.2610.18952"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.18952","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18952","pdf_url":"https://arxiv.org/pdf/2610.18952","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.18952","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037514989","display_name":"K. J. Kwon","orcid":"https://orcid.org/0000-0001-9802-362X","observed_orcids":["https://orcid.org/0000-0001-9802-362X"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kwon, K. J.","raw_affiliation_strings":["Department of Physics , University of California , Santa Barbara , CA 93106 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , University of California , Santa Barbara , CA 93106 , USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5158824676","display_name":"Abhishek Hegade K. R.","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R., Abhishek Hegade K.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051494527","display_name":"Tejaswi Venumadhav","orcid":"https://orcid.org/0000-0002-1661-2138","observed_orcids":["https://orcid.org/0000-0002-1661-2138"]},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]},{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I4210090503","display_name":"International Centre for Theoretical Sciences","ror":"https://ror.org/0015qa126","country_code":"IN","type":"facility","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468","https://openalex.org/I4210090503"]}],"countries":["IN","US"],"is_corresponding":false,"raw_author_name":"Venumadhav, Tejaswi","raw_affiliation_strings":["Department of Physics , University of California , Santa Barbara , CA 93106 , USA","International Centre for Theoretical Sciences , Tata Institute of Fundamental Research , Bangalore 560089 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , University of California , Santa Barbara , CA 93106 , USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"International Centre for Theoretical Sciences , Tata Institute of Fundamental Research , Bangalore 560089 , India","institution_ids":["https://openalex.org/I11947397","https://openalex.org/I4210090503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5158823417","display_name":"Hang Yu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I23732399","display_name":"Montana State University","ror":"https://ror.org/02w0trx84","country_code":"US","type":"education","lineage":["https://openalex.org/I23732399","https://openalex.org/I4210126032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu, Hang","raw_affiliation_strings":["eXtreme Gravity Institute , Department of Physics , Montana State University , Bozeman , MT 59717 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"eXtreme Gravity Institute , Department of Physics , Montana State University , Bozeman , MT 59717 , USA","institution_ids":["https://openalex.org/I23732399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034257635","display_name":"Nicol\u00e1s Yunes","orcid":"https://orcid.org/0000-0001-6147-1736","observed_orcids":["https://orcid.org/0000-0001-6147-1736"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunes, Nicol\u00e1s","raw_affiliation_strings":["Illinois Center for Advanced Studies of the Universe , Department of Physics , University of Illinois , Urbana-Champaign , Urbana , IL 61801 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Illinois Center for Advanced Studies of the Universe , Department of Physics , University of Illinois , Urbana-Champaign , Urbana , IL 61801 , USA","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I2801919071"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9951000213623047,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9951000213623047,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.0024999999441206455,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0008999999845400453,"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/relativistic-stars","display_name":"relativistic stars","score":0.8069999814033508},{"id":"https://openalex.org/keywords/nonlinear-perturbations","display_name":"nonlinear perturbations","score":0.8389999866485596},{"id":"https://openalex.org/keywords/tidal-perturbations","display_name":"tidal perturbations","score":0.722000002861023},{"id":"https://openalex.org/keywords/regge-wheeler-gauge","display_name":"Regge-Wheeler gauge","score":0.9300000071525574},{"id":"https://openalex.org/keywords/master-equation","display_name":"master equation","score":0.6880000233650208},{"id":"https://openalex.org/keywords/eigenmode-coupling","display_name":"eigenmode coupling","score":0.7730000019073486}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8104000091552734},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6319000124931335},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.616100013256073},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.6014999747276306},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5598999857902527},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5411999821662903},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4546000063419342},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.4494999945163727},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.359499990940094},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3255999982357025},{"id":"https://openalex.org/C86597896","wikidata":"https://www.wikidata.org/wiki/Q223325","display_name":"Tidal force","level":2,"score":0.31790000200271606},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.28360000252723694},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C81263218","wikidata":"https://www.wikidata.org/wiki/Q7330289","display_name":"Relativistic quantum chemistry","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C2780100471","wikidata":"https://www.wikidata.org/wiki/Q17005905","display_name":"Cosmological perturbation theory","level":3,"score":0.26269999146461487},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.18952","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18952","pdf_url":"https://arxiv.org/pdf/2610.18952","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":"doi:10.48550/arxiv.2610.18952","doi":"https://doi.org/10.48550/arxiv.2610.18952","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.18952","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.18952","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18952","pdf_url":"https://arxiv.org/pdf/2610.18952","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1150263659","display_name":null,"funder_award_id":"80NSSC22M0042","funder_id":"https://openalex.org/F4320306101","funder_display_name":"National Aeronautics and Space Administration"},{"id":"https://openalex.org/G2328468439","display_name":"Linear and Nonlinear Tides in Coalescing Binary Neutron Stars","funder_award_id":"2308415","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3806454686","display_name":null,"funder_award_id":"2022136","funder_id":"https://openalex.org/F4320306151","funder_display_name":"Alfred P. Sloan Foundation"},{"id":"https://openalex.org/G4274203451","display_name":null,"funder_award_id":"80NSSC22M0042","funder_id":"https://openalex.org/F4320338283","funder_display_name":"Office of Experimental Program to Stimulate Competitive Research"},{"id":"https://openalex.org/G4744176445","display_name":"WoU-MMA: Targeted Search for Binary Mergers with Multiple Harmonics in Gravitational Wave Data","funder_award_id":"2309360","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7089268233","display_name":null,"funder_award_id":"FG-2023-20470","funder_id":"https://openalex.org/F4320306151","funder_display_name":"Alfred P. Sloan Foundation"},{"id":"https://openalex.org/G7165955285","display_name":"WoU-MMA: Expanding the Horizons of Gravitational Wave Searches and Parameter Estimation","funder_award_id":"2012086","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8696814194","display_name":null,"funder_award_id":"PHY-254157","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"},{"id":"https://openalex.org/F4320338283","display_name":"Office of Experimental Program to Stimulate Competitive Research","ror":"https://ror.org/04k9mqs78"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222348717.pdf","grobid_xml":"https://content.openalex.org/works/W7222348717.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4417474455","https://openalex.org/W4396790862","https://openalex.org/W7154681194","https://openalex.org/W2153325244","https://openalex.org/W2005998901","https://openalex.org/W2012430171","https://openalex.org/W7221749618","https://openalex.org/W4403362572","https://openalex.org/W4417257671","https://openalex.org/W1600727717"],"abstract_inverted_index":{"We":[0,27],"extend":[1],"the":[2,25,33,50,62,76,79,90,94,99,102,106,111,115,120,126,136,153,159],"general":[3,29,40],"relativistic":[4,55],"Lagrangian":[5,34],"perturbation":[6],"formalism":[7],"of":[8,24,46,87,144,158],"Friedman":[9],"and":[10,35,60,65,93,104,114,131,155],"Schutz":[11],"[Astrophys.":[12],"J.":[13],"200,":[14],"204":[15],"(1975)]":[16],"beyond":[17],"linear":[18],"order,":[19],"retaining":[20],"full":[21],"time":[22],"dependence":[23],"perturbations.":[26],"provide":[28],"formulae":[30],"to":[31,38,52,68,140,147],"relate":[32],"Eulerian":[36],"perturbations":[37],"any":[39],"perturbative":[41],"order.":[42],"As":[43],"a":[44,72,84,141,148],"proof":[45],"principle,":[47],"we":[48,82,118],"apply":[49],"framework":[51],"tidally":[53],"perturbed":[54],"stars":[56],"in":[57],"Regge-Wheeler":[58],"gauge":[59],"reduce":[61],"second-order":[63,160],"field":[64,113],"conservation":[66],"equations":[67,70],"master":[69],"with":[71,105],"nonlinear":[73,85],"source.":[74],"Projecting":[75],"source":[77],"onto":[78],"star's":[80],"eigenmodes,":[81],"obtain":[83],"equation":[86],"motion":[88],"for":[89],"mode":[91,129],"amplitudes":[92],"coupling":[95,116],"coefficients,":[96,117],"which":[97],"describe":[98],"interactions":[100],"among":[101],"eigenmodes":[103],"external":[107],"tidal":[108,112,161],"field.":[109,162],"Approximating":[110],"compute":[119],"static":[121],"quadratic":[122],"Love":[123],"number":[124],"from":[125,152],"quadrupolar":[127],"fundamental":[128],"alone":[130],"find":[132],"that":[133],"it":[134],"reproduces":[135],"direct":[137],"metric-matching":[138],"value":[139],"reasonable":[142],"accuracy":[143],"$4\\%$,":[145],"up":[146],"further":[149],"correction":[150],"arising":[151],"Hamiltonian":[154],"momentum":[156],"constraints":[157]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-16T00:00:00"}
