{"id":"https://openalex.org/W7221005063","doi":"https://doi.org/10.48550/arxiv.2610.07166","title":"Propagation and horizon formation in Einstein--Gauss--Bonnet scalar collapse. I. Characteristic conditions, bounds and formation","display_name":"Propagation and horizon formation in Einstein--Gauss--Bonnet scalar collapse. I. Characteristic conditions, bounds and formation","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7221005063","doi":"https://doi.org/10.48550/arxiv.2610.07166"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.07166","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07166","pdf_url":"https://arxiv.org/pdf/2610.07166","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/2610.07166","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036653265","display_name":"Cendikiawan Suryaatmadja","orcid":"https://orcid.org/0009-0008-5738-6211","observed_orcids":["https://orcid.org/0009-0008-5738-6211"]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Suryaatmadja, Cendikiawan","raw_affiliation_strings":["Department of Physics and Astronomy , University of Waterloo Waterloo , ON N2L 3G1 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , University of Waterloo Waterloo , ON N2L 3G1 , Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036653265"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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":0.4796999990940094,"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":0.4796999990940094,"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":0.3075999915599823,"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":0.10080000013113022,"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/einstein-gauss-bonnet-gravity","display_name":"Einstein-Gauss-Bonnet gravity","score":0.9409999847412109},{"id":"https://openalex.org/keywords/horizon-formation","display_name":"horizon formation","score":0.8360000252723694},{"id":"https://openalex.org/keywords/five-dimensional-gravity","display_name":"five-dimensional gravity","score":0.5210000276565552},{"id":"https://openalex.org/keywords/six-dimensional-gravity","display_name":"six-dimensional gravity","score":0.9940000176429749},{"id":"https://openalex.org/keywords/areal-radius","display_name":"areal radius","score":0.5690000057220459},{"id":"https://openalex.org/keywords/spectral-conditions","display_name":"spectral conditions","score":0.5149999856948853},{"id":"https://openalex.org/keywords/tidal-records","display_name":"tidal records","score":0.4519999921321869}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.607200026512146},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.5511000156402588},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5493999719619751},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5385000109672546},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5278000235557556},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5228000283241272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4991999864578247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4952000081539154},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.4717000126838684},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.4471000134944916},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.364300012588501},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3562999963760376},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.34060001373291016},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.30809998512268066},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3059999942779541},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.30309998989105225},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.29809999465942383},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C17777063","wikidata":"https://www.wikidata.org/wiki/Q4780925","display_name":"Apparent horizon","level":4,"score":0.28940001130104065},{"id":"https://openalex.org/C118396296","wikidata":"https://www.wikidata.org/wiki/Q329273","display_name":"Gravitational collapse","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C11665553","wikidata":"https://www.wikidata.org/wiki/Q1136069","display_name":"Radius of curvature","level":5,"score":0.2694000005722046},{"id":"https://openalex.org/C16977076","wikidata":"https://www.wikidata.org/wiki/Q1589551","display_name":"Principal curvature","level":4,"score":0.26010000705718994},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.07166","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07166","pdf_url":"https://arxiv.org/pdf/2610.07166","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.2610.07166","doi":"https://doi.org/10.48550/arxiv.2610.07166","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.07166","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:2610.07166","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07166","pdf_url":"https://arxiv.org/pdf/2610.07166","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221005063.pdf","grobid_xml":"https://content.openalex.org/works/W7221005063.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1538372838","https://openalex.org/W1874851110","https://openalex.org/W1877627464","https://openalex.org/W1965578456","https://openalex.org/W1985071512","https://openalex.org/W1999472107","https://openalex.org/W2004231062","https://openalex.org/W2029039484","https://openalex.org/W2039352629","https://openalex.org/W2042317870","https://openalex.org/W2086923495","https://openalex.org/W2116295339","https://openalex.org/W2116403497","https://openalex.org/W2120195773","https://openalex.org/W2148186021","https://openalex.org/W2148240747","https://openalex.org/W2148343347","https://openalex.org/W2575187963","https://openalex.org/W2612905931","https://openalex.org/W2763963275","https://openalex.org/W2964332851","https://openalex.org/W3012364770"],"related_works":["https://openalex.org/W2760252448","https://openalex.org/W4292756766","https://openalex.org/W1562965878","https://openalex.org/W1999472107","https://openalex.org/W2982091614","https://openalex.org/W1964635679","https://openalex.org/W2963198728","https://openalex.org/W3215471307","https://openalex.org/W2890637597","https://openalex.org/W2120195773"],"abstract_inverted_index":{"We":[0],"study":[1],"scalar":[2,21,31],"collapse":[3],"in":[4,37,151,236],"five-":[5],"and":[6,30,52,77,120,155,246],"six-dimensional":[7],"Einstein--Gauss--Bonnet":[8],"gravity":[9],"with":[10,47,93,142,168,181,221],"positive":[11],"coupling,":[12],"treated":[13],"as":[14],"an":[15],"exact":[16,213],"classical":[17],"theory.":[18],"On":[19],"spherical":[20,91,163],"backgrounds,":[22],"the":[23,27,44,48,64,74,78,229],"characteristic":[24,113,231],"conditions":[25],"of":[26,68,108,216,248],"tensor,":[28],"vector":[29],"gravitational":[32],"sectors":[33],"reduce":[34],"to":[35,146],"inequalities":[36],"two":[38],"local":[39,243],"invariants:":[40],"$K=1+\\tilde\u03b1F/R^2$,":[41],"which":[42],"compares":[43],"enclosed":[45],"mass":[46,143,156],"areal":[49,65],"radius":[50,66,141,154],"$R$,":[51],"a":[53,69,94,97,117,121,129,186,209,233,237,257],"scalar-gradient":[54],"invariant":[55],"$j$.":[56],"In":[57],"five":[58],"dimensions":[59,153],"they":[60],"imply":[61],"$R_h^2>\\tilde\u03b1$":[62],"for":[63,84],"$R_h$":[67],"regular":[70,95],"marginal":[71,122,136,179],"sphere":[72,123],"on":[73,99,105,116,256],"GR":[75],"branch":[76],"sharp":[79,148],"bound":[80,98],"$\\tilde\u03b1^2\\mathcal":[81],"R_{abcd}\\mathcal":[82],"R^{abcd}<28$":[83],"nonnegative":[85],"mass.":[86,199],"For":[87],"initially":[88],"untrapped":[89,203],"five-dimensional":[90],"data":[92,134,167,204,219],"center,":[96],"$K$":[100],"alone":[101],"ensures":[102],"smooth":[103,118,133,217],"continuation":[104],"compact":[106],"domains":[107],"dependence,":[109],"so":[110],"any":[111,126],"first":[112],"loss":[114,127],"occurs":[115],"background,":[119],"formed":[124],"before":[125],"forces":[128],"later":[130],"loss.":[131],"Complete":[132],"form":[135],"spheres":[137],"at":[138,172,197],"every":[139,222],"allowed":[140],"arbitrarily":[144,160,194],"close":[145],"its":[147],"lower":[149],"bound;":[150],"six":[152],"can":[157],"both":[158],"be":[159,254],"small.":[161],"Without":[162],"symmetry,":[164],"complete":[165],"initial":[166],"weak":[169],"curvature":[170,226],"contain,":[171],"sufficiently":[173],"large":[174],"scale,":[175],"outermost":[176],"strictly":[177],"stable":[178],"surfaces":[180,190],"prescribed":[182],"$S^3$":[183],"geometries":[184],"satisfying":[185],"spectral":[187],"condition;":[188],"Berger":[189],"among":[191],"them":[192],"have":[193,224],"small":[195],"area":[196],"fixed":[198,234],"Their":[200],"formation":[201],"from":[202],"is":[205],"left":[206],"open.":[207],"Near":[208],"contracting":[210],"homogeneous":[211],"core,":[212],"nonspherical":[214],"developments":[215],"constrained":[218],"converging":[220],"derivative":[223],"bounded":[225],"but,":[227],"after":[228],"core's":[230],"loss,":[232],"discrepancy":[235],"geometric":[238,244],"tidal":[239],"record.":[240],"Classical":[241],"existence,":[242],"uniqueness":[245],"continuity":[247],"this":[249],"pointwise":[250],"record":[251],"cannot":[252],"all":[253],"guaranteed":[255],"common":[258],"observation":[259],"region.":[260],"A":[261],"companion":[262],"paper":[263],"treats":[264],"narrow":[265],"incoming":[266],"pulses.":[267]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-10-09T00:00:00"}
