{"id":"https://openalex.org/W7220975290","doi":"https://doi.org/10.48550/arxiv.2610.09878","title":"Kerr geodesics on conformal projection diagrams","display_name":"Kerr geodesics on conformal projection diagrams","publication_year":2026,"publication_date":"2026-10-07","ids":{"openalex":"https://openalex.org/W7220975290","doi":"https://doi.org/10.48550/arxiv.2610.09878"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.09878","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09878","pdf_url":"https://arxiv.org/pdf/2610.09878","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/2610.09878","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157968773","display_name":"Przemys\u0142aw Podle\u015bny","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Podle\u015bny, Przemys\u0142aw","raw_affiliation_strings":["Instytut Fizyki Teoretycznej , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland","Szko la Doktorska Nauk \u015acis lych i Przyrodniczych , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Fizyki Teoretycznej , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Szko la Doktorska Nauk \u015acis lych i Przyrodniczych , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016231693","display_name":"Patryk Mach","orcid":"https://orcid.org/0000-0003-1493-8668","observed_orcids":["https://orcid.org/0000-0003-1493-8668"]},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mach, Patryk","raw_affiliation_strings":["Instytut Fizyki Teoretycznej , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Fizyki Teoretycznej , Uniwersytet Jagiello\u0144ski , Lojasiewicza 11 , 30-348 Krak\u00f3w , Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I126596746"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.45899999141693115,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.45899999141693115,"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":0.43849998712539673,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.025299999862909317,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kerr-metric","display_name":"Kerr metric","score":0.9779999852180481},{"id":"https://openalex.org/keywords/timelike-geodesics","display_name":"timelike geodesics","score":0.9990000128746033},{"id":"https://openalex.org/keywords/causal-curves","display_name":"causal curves","score":0.6830000281333923},{"id":"https://openalex.org/keywords/event-horizon","display_name":"event horizon","score":0.875},{"id":"https://openalex.org/keywords/cauchy-horizon","display_name":"Cauchy horizon","score":1.0}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7926999926567078},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7552000284194946},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6930000185966492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6061999797821045},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5532000064849854},{"id":"https://openalex.org/C163504300","wikidata":"https://www.wikidata.org/wiki/Q2364925","display_name":"Causal structure","level":2,"score":0.4634000062942505},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4494999945163727},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.4489000141620636},{"id":"https://openalex.org/C26011984","wikidata":"https://www.wikidata.org/wiki/Q2112445","display_name":"Parallel projection","level":3,"score":0.33899998664855957},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33739998936653137},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.33239999413490295},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.32989999651908875},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.325300008058548},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.31360000371932983},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28439998626708984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.09878","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09878","pdf_url":"https://arxiv.org/pdf/2610.09878","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.2610.09878","doi":"https://doi.org/10.48550/arxiv.2610.09878","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.09878","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":"pmh:oai:arXiv.org:2610.09878","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09878","pdf_url":"https://arxiv.org/pdf/2610.09878","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/W7220975290.pdf","grobid_xml":"https://content.openalex.org/works/W7220975290.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W207098663","https://openalex.org/W1794746906","https://openalex.org/W1964609051","https://openalex.org/W1970662820","https://openalex.org/W2026100375","https://openalex.org/W2046968225","https://openalex.org/W2060745302","https://openalex.org/W2075511323","https://openalex.org/W2083516758","https://openalex.org/W2108030560","https://openalex.org/W4297520654","https://openalex.org/W4385197895","https://openalex.org/W4386274046","https://openalex.org/W4388540527","https://openalex.org/W4404710271"],"related_works":["https://openalex.org/W9904358","https://openalex.org/W1969837347","https://openalex.org/W4249656145","https://openalex.org/W7100096368","https://openalex.org/W6891961425","https://openalex.org/W6885372861","https://openalex.org/W3138692515","https://openalex.org/W4404710271","https://openalex.org/W7118397593","https://openalex.org/W4318015130"],"abstract_inverted_index":{"We":[0],"provide":[1],"a":[2,66,91,100],"rigorous":[3],"representation":[4],"of":[5,57,69],"timelike":[6],"geodesics":[7,70],"in":[8],"the":[9,41,46,72,78,113,121],"maximally":[10],"extended":[11],"Kerr":[12],"spacetime,":[13],"using":[14],"projection":[15,29,96],"diagrams":[16,30],"introduced":[17],"by":[18,90],"Chru\u015bciel,":[19],"\u00d6lz,":[20],"and":[21,62,74],"Szybka.":[22],"In":[23],"contrast":[24],"to":[25,40,64],"standard":[26],"conformal":[27,114],"diagrams,":[28],"allow":[31],"for":[32,95],"plotting":[33],"general":[34],"causal":[35,50,84,104],"curves":[36],"(not":[37],"necessarily":[38],"confined":[39],"two-dimensional":[42],"surface":[43],"associated":[44],"with":[45],"diagram),":[47],"preserving":[48],"their":[49],"characteristics.":[51],"Our":[52],"analysis":[53],"utilizes":[54],"two":[55],"systems":[56],"horizon-penetrating":[58],"coordinates":[59],"(both":[60],"ingoing":[61],"outgoing)":[63],"ensure":[65],"regular":[67],"description":[68],"crossing":[71],"event":[73],"Cauchy":[75],"horizons.":[76],"On":[77],"other":[79],"hand,":[80],"at":[81,120],"most":[82],"four":[83],"blocks":[85,105],"can":[86],"be":[87],"joined":[88],"smoothly":[89],"Kruskal-Szekeres-type":[92],"construction":[93],"proposed":[94],"diagrams.":[97],"Consequently,":[98],"depicting":[99],"trajectory":[101],"spanning":[102],"several":[103],"may":[106],"require":[107],"more":[108],"than":[109],"one":[110],"diagram,":[111],"as":[112],"factor":[115],"either":[116],"vanishes":[117],"or":[118],"diverges":[119],"block":[122],"boundaries.":[123]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
