{"id":"https://openalex.org/W2742012603","doi":null,"title":"Behavior of vacuum and singularity in spherical metric model under smooth gauge function in Lyra geometry","display_name":"Behavior of vacuum and singularity in spherical metric model under smooth gauge function in Lyra geometry","publication_year":2017,"publication_date":"2017-05-10","ids":{"openalex":"https://openalex.org/W2742012603","mag":"2742012603"},"language":"en","primary_location":{"id":"mag:2742012603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.04191.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1705.04191.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113547994","display_name":"Haizhao Zhi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Haizhao Zhi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5113547994"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.5648999810218811,"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":0.5648999810218811,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.23520000278949738,"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"}},{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.16529999673366547,"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/lyra-geometry","display_name":"Lyra geometry","score":0.9940000176429749},{"id":"https://openalex.org/keywords/conformal-geometry","display_name":"conformal geometry","score":0.8399999737739563},{"id":"https://openalex.org/keywords/weyl-geometry","display_name":"Weyl geometry","score":0.9229999780654907},{"id":"https://openalex.org/keywords/irregular-singular-points","display_name":"irregular singular points","score":0.9129999876022339},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.8100000023841858},{"id":"https://openalex.org/keywords/naked-singularities","display_name":"naked singularities","score":0.9679999947547913},{"id":"https://openalex.org/keywords/spacetime-singularities","display_name":"spacetime singularities","score":0.6700000166893005},{"id":"https://openalex.org/keywords/integrability","display_name":"integrability","score":0.5360000133514404}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7811325788497925},{"id":"https://openalex.org/C8105449","wikidata":"https://www.wikidata.org/wiki/Q285949","display_name":"Naked singularity","level":3,"score":0.6758759617805481},{"id":"https://openalex.org/C28235433","wikidata":"https://www.wikidata.org/wiki/Q5277259","display_name":"Dimension function","level":3,"score":0.6078275442123413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5891714692115784},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5247412323951721},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5112171173095703},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.48444700241088867},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.477493017911911},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4601069688796997},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.4576377868652344},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4405275583267212},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.42404139041900635},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4188447892665863},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.3877430856227875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29959166049957275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2652590274810791},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.18773674964904785},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14824220538139343},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2742012603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.04191.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2742012603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.04191.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2783287872","https://openalex.org/W2613706799","https://openalex.org/W2049466586","https://openalex.org/W4391462595","https://openalex.org/W2792057868","https://openalex.org/W2794975841","https://openalex.org/W2950805593","https://openalex.org/W2029957734","https://openalex.org/W2797999453","https://openalex.org/W2299205337"],"abstract_inverted_index":{"Lyra":[0,28,129],"geometry":[1,5,130],"is":[2,82,156],"a":[3,33,87,110],"conformal":[4],"originated":[6],"from":[7],"Weyl":[8],"geometry.":[9,29],"In":[10],"this":[11,80,123,144],"article,":[12],"we":[13,31,59,84,117],"derive":[14],"the":[15,37,41,46,61,69,73,96,101,106,119],"exterior":[16],"field":[17],"equation":[18,44],"under":[19,113],"spherically":[20],"symmetric":[21],"gauge":[22,38,91,152],"function":[23,39,153],"$x^0(r)$":[24,93],"and":[25,66,105,131,154],"metric":[26,47],"in":[27,128],"When":[30],"impose":[32],"specific":[34],"form":[35],"of":[36,45,63,72,79,89,98,100,122,126,151],"$x^0(r)$,":[40],"radial":[42],"differential":[43],"component":[48],"$g_{00}$":[49],"will":[50,108],"possess":[51],"an":[52],"irregular":[53],"singular":[54],"point(ISP)":[55],"at":[56,103,143,146],"$r=0$.":[57,147],"Moreover,":[58],"apply":[60],"method":[62],"dominant":[64],"balance":[65],"then":[67],"get":[68],"asymptotic":[70],"behavior":[71,125],"new":[74],"spacetime":[75,127],"solution.":[76],"The":[77,148],"significance":[78],"work":[81],"that":[83,134],"could":[85,141],"use":[86],"series":[88],"smooth":[90],"functions":[92],"to":[94],"modulate":[95],"degree":[97],"divergence":[99],"singularity":[102,107,112,145],"$r=0$":[104],"become":[109],"naked":[111],"certain":[114],"conditions.":[115],"Furthermore,":[116],"investigate":[118],"physical":[120,149],"meaning":[121,150],"novel":[124],"find":[132],"out":[133],"no":[135],"spaceship":[136],"with":[137],"finite":[138],"integrated":[139],"acceleration":[140],"arrive":[142],"integrability":[155],"also":[157],"discussed.":[158]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2017-08-08T00:00:00"}
