{"id":"https://openalex.org/W4388897877","doi":"https://doi.org/10.1139/cjp-2023-0244","title":"Quantum corrections on geodesic structure and shadow behavior of the Schwarzschild black hole","display_name":"Quantum corrections on geodesic structure and shadow behavior of the Schwarzschild black hole","publication_year":2023,"publication_date":"2023-11-22","ids":{"openalex":"https://openalex.org/W4388897877","doi":"https://doi.org/10.1139/cjp-2023-0244"},"language":"en","primary_location":{"id":"doi:10.1139/cjp-2023-0244","doi":"https://doi.org/10.1139/cjp-2023-0244","is_oa":false,"landing_page_url":"https://doi.org/10.1139/cjp-2023-0244","pdf_url":null,"source":{"id":"https://openalex.org/S173335977","display_name":"Canadian Journal of Physics","issn_l":"0008-4204","issn":["0008-4204","1208-6045"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312929","host_organization_name":"Canadian Science Publishing","host_organization_lineage":["https://openalex.org/P4310312929"],"host_organization_lineage_names":["Canadian Science Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Canadian Journal of Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093315351","display_name":"Saadoon Yazea Salil","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Saadoon Yazea Salil","raw_affiliation_strings":["Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","University of Mazandaran, 48531, Department of Theoretical Physics, Babolsar, Iran (the Islamic Republic of)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","institution_ids":["https://openalex.org/I4871159"]},{"raw_affiliation_string":"University of Mazandaran, 48531, Department of Theoretical Physics, Babolsar, Iran (the Islamic Republic of)","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010161607","display_name":"Kourosh Nozari","orcid":"https://orcid.org/0000-0003-4368-5823","observed_orcids":["https://orcid.org/0000-0003-4368-5823"]},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Kourosh Nozari","raw_affiliation_strings":["Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran, 47416-95447 Babolsar, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","institution_ids":["https://openalex.org/I4871159"]},{"raw_affiliation_string":"Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran, 47416-95447 Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052167794","display_name":"Sara Saghafi","orcid":"https://orcid.org/0000-0001-8381-973X","observed_orcids":["https://orcid.org/0000-0001-8381-973X"]},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sara Saghafi","raw_affiliation_strings":["Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran, 47416-95447 Babolsar, Iran"],"raw_orcid":"https://orcid.org/0000-0001-8381-973X","affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran","institution_ids":["https://openalex.org/I4871159"]},{"raw_affiliation_string":"Department of Theoretical Physics, Faculty of Sciences, University of Mazandaran, 47416-95447 Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4871159"],"apc_list":null,"apc_paid":null,"fwci":0.1234,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41066299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"102","issue":"4","first_page":"242","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.8148999810218811,"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":0.8148999810218811,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.14650000631809235,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.013199999928474426,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/schwarzschild-black-hole","display_name":"Schwarzschild black hole","score":0.9490000009536743},{"id":"https://openalex.org/keywords/quantum-corrections","display_name":"quantum corrections","score":0.8009999990463257},{"id":"https://openalex.org/keywords/null-geodesics","display_name":"null geodesics","score":0.8069999814033508},{"id":"https://openalex.org/keywords/black-hole-shadow","display_name":"black hole shadow","score":0.9660000205039978},{"id":"https://openalex.org/keywords/deflection-angle","display_name":"deflection angle","score":0.7239999771118164},{"id":"https://openalex.org/keywords/energy-emission-rate","display_name":"energy emission rate","score":0.9570000171661377},{"id":"https://openalex.org/keywords/event-horizon-telescope","display_name":"Event Horizon Telescope","score":0.8109999895095825},{"id":"https://openalex.org/keywords/m87","display_name":"M87","score":0.8870000243186951},{"id":"https://openalex.org/keywords/supermassive-black-holes","display_name":"supermassive black holes","score":0.8159999847412109},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.7588106393814087},{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.730323076248169},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5835535526275635},{"id":"https://openalex.org/C175757954","wikidata":"https://www.wikidata.org/wiki/Q2361910","display_name":"Photon sphere","level":5,"score":0.5601192116737366},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5563675761222839},{"id":"https://openalex.org/C136125196","wikidata":"https://www.wikidata.org/wiki/Q742969","display_name":"Schwarzschild metric","level":3,"score":0.5476769208908081},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5276374220848083},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.4674347937107086},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.30811136960983276},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3051709234714508},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19579914212226868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18271741271018982},{"id":"https://openalex.org/C183915046","wikidata":"https://www.wikidata.org/wiki/Q1316152","display_name":"Charged black hole","level":4,"score":0.17165717482566833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09268113970756531},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.08559000492095947},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07339116930961609},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.043298542499542236},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C89305328","wikidata":"https://www.wikidata.org/wiki/Q1755411","display_name":"Link-state routing protocol","level":4,"score":0.0},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1139/cjp-2023-0244","doi":"https://doi.org/10.1139/cjp-2023-0244","is_oa":false,"landing_page_url":"https://doi.org/10.1139/cjp-2023-0244","pdf_url":null,"source":{"id":"https://openalex.org/S173335977","display_name":"Canadian Journal of Physics","issn_l":"0008-4204","issn":["0008-4204","1208-6045"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312929","host_organization_name":"Canadian Science Publishing","host_organization_lineage":["https://openalex.org/P4310312929"],"host_organization_lineage_names":["Canadian Science Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Canadian Journal of Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W1573171935","https://openalex.org/W1891608179","https://openalex.org/W1969876157","https://openalex.org/W1994845040","https://openalex.org/W2006905260","https://openalex.org/W2010521956","https://openalex.org/W2014841181","https://openalex.org/W2038915951","https://openalex.org/W2057811527","https://openalex.org/W2061207049","https://openalex.org/W2068369403","https://openalex.org/W2070520721","https://openalex.org/W2083067279","https://openalex.org/W2086782695","https://openalex.org/W2133824920","https://openalex.org/W2136214582","https://openalex.org/W2154559339","https://openalex.org/W2158759013","https://openalex.org/W2168267460","https://openalex.org/W2205351289","https://openalex.org/W2252795400","https://openalex.org/W2285022380","https://openalex.org/W2292248153","https://openalex.org/W2337441965","https://openalex.org/W2427651139","https://openalex.org/W2479388119","https://openalex.org/W2507204106","https://openalex.org/W2546715058","https://openalex.org/W2548842871","https://openalex.org/W2574000634","https://openalex.org/W2592854053","https://openalex.org/W2616330481","https://openalex.org/W2748293534","https://openalex.org/W2783596630","https://openalex.org/W2790699196","https://openalex.org/W2910787951","https://openalex.org/W2913533842","https://openalex.org/W2936095933","https://openalex.org/W2936349953","https://openalex.org/W2937056002","https://openalex.org/W2938000962","https://openalex.org/W2939024351","https://openalex.org/W2939038312","https://openalex.org/W2971100406","https://openalex.org/W2999887952","https://openalex.org/W3019338375","https://openalex.org/W3022183273","https://openalex.org/W3037709687","https://openalex.org/W3100534120","https://openalex.org/W3137038733","https://openalex.org/W3139022070","https://openalex.org/W3161457974","https://openalex.org/W3161957533","https://openalex.org/W3164860017","https://openalex.org/W3215362263","https://openalex.org/W4223550206","https://openalex.org/W4224909322","https://openalex.org/W4225149312","https://openalex.org/W4280589633","https://openalex.org/W4280598936","https://openalex.org/W4280608520","https://openalex.org/W4280615553","https://openalex.org/W4280631862","https://openalex.org/W4280648529","https://openalex.org/W4281555333","https://openalex.org/W4281726160","https://openalex.org/W4281772598","https://openalex.org/W4282942400","https://openalex.org/W4293212661","https://openalex.org/W4295021957","https://openalex.org/W4317910655","https://openalex.org/W4378373273"],"related_works":["https://openalex.org/W4416566615","https://openalex.org/W4414120906","https://openalex.org/W4382319437","https://openalex.org/W3022183273","https://openalex.org/W7167352936","https://openalex.org/W3046482285","https://openalex.org/W7160547675","https://openalex.org/W3117285904","https://openalex.org/W7130319156","https://openalex.org/W7161171467"],"abstract_inverted_index":{"Point-like":[0],"singularities":[1],"of":[2,9,15,19,32,48,104,116,124,145,149],"black":[3,35,60,78,107,119,128,140,152],"hole":[4,36,79,120,141],"space\u2013times":[5],"in":[6,81,85,137],"general":[7],"theory":[8,51],"relativity":[10],"(GR)":[11],"and":[12,101],"alternative":[13],"theories":[14],"gravity":[16],"are":[17],"one":[18],"the":[20,29,33,38,46,53,58,63,66,77,92,105,112,117,125,134,138,146,150],"controversial":[21],"issues":[22],"for":[23,75],"decades.":[24],"One":[25],"way":[26],"to":[27,57,90,143],"remove":[28],"central":[30],"singularity":[31],"Schwarzschild":[34],"is":[37],"Kazakov\u2013Solodukhin":[39],"(KS)":[40],"proposal,":[41],"which":[42],"takes":[43],"into":[44],"account":[45],"effects":[47,136],"quantum":[49,113,135],"field":[50],"within":[52],"GR":[54],"framework":[55],"leading":[56],"KS":[59,106,118,139,151],"hole.":[61,108,129,153],"On":[62],"other":[64],"hand,":[65],"Event":[67],"Horizon":[68],"Telescope":[69],"(EHT)":[70],"becomes":[71],"a":[72],"noteworthy":[73],"tool":[74],"constraining":[76],"parameters":[80],"gravitational":[82],"theories.":[83],"Hence,":[84],"this":[86],"work,":[87],"we":[88,110],"plan":[89],"study":[91],"null":[93],"geodesic":[94],"structure,":[95],"shadow":[96,147],"behavior,":[97],"energy":[98],"emission":[99],"rate,":[100],"deflection":[102],"angle":[103],"Then,":[109],"constrain":[111],"correction":[114],"parameter":[115],"via":[121],"EHT":[122],"data":[123],"M87*":[126],"supermassive":[127],"We":[130],"observe":[131],"that":[132],"increasing":[133],"leads":[142],"amplification":[144],"size":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2023-11-23T00:00:00"}