{"id":"https://openalex.org/W7214347198","doi":"https://doi.org/10.48550/arxiv.2609.30011","title":"Gravitational spin Hall effect in the Reissner-Nordstr\u00f6m black holes: evolution equations and charge effects","display_name":"Gravitational spin Hall effect in the Reissner-Nordstr\u00f6m black holes: evolution equations and charge effects","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214347198","doi":"https://doi.org/10.48550/arxiv.2609.30011"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.30011","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30011","pdf_url":"https://arxiv.org/pdf/2609.30011","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/2609.30011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152801652","display_name":"Zhan Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu, Zhan","raw_affiliation_strings":["Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education) , Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter , School of Physics , South China Normal University , Guangzhou 510006 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education) , Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter , School of Physics , South China Normal University , Guangzhou 510006 , China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152843413","display_name":"Jia-Hui Huang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Jia-Hui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.6689000129699707,"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":0.6689000129699707,"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":0.17829999327659607,"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":0.05480000004172325,"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/reissner-nordstrom-black-hole","display_name":"Reissner-Nordstr\u00f6m black hole","score":0.925000011920929},{"id":"https://openalex.org/keywords/electromagnetic-wave-propagation","display_name":"electromagnetic wave propagation","score":0.7459999918937683},{"id":"https://openalex.org/keywords/null-geodesics","display_name":"null geodesics","score":0.8629999756813049},{"id":"https://openalex.org/keywords/null-tetrad","display_name":"null tetrad","score":0.6990000009536743},{"id":"https://openalex.org/keywords/hidden-symmetries","display_name":"hidden symmetries","score":0.8669999837875366},{"id":"https://openalex.org/keywords/photon-sphere","display_name":"photon sphere","score":0.5220000147819519},{"id":"https://openalex.org/keywords/black-hole-charge","display_name":"black hole charge","score":0.5249999761581421}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8406999707221985},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.623199999332428},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.5672000050544739},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5612999796867371},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.5457000136375427},{"id":"https://openalex.org/C147727578","wikidata":"https://www.wikidata.org/wiki/Q7706297","display_name":"Tetrad","level":2,"score":0.487199991941452},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.4745999872684479},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.4627000093460083},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C63493438","wikidata":"https://www.wikidata.org/wiki/Q5533988","display_name":"Geodesics in general relativity","level":3,"score":0.445499986410141},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4189999997615814},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.4153999984264374},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4120999872684479},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.40689998865127563},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34299999475479126},{"id":"https://openalex.org/C190330329","wikidata":"https://www.wikidata.org/wiki/Q190035","display_name":"Gravitational wave","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C52234038","wikidata":"https://www.wikidata.org/wiki/Q17128025","display_name":"Cross section (physics)","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.3199999928474426},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3093999922275543},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.2651999890804291},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.2615000009536743},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.259799987077713},{"id":"https://openalex.org/C32127712","wikidata":"https://www.wikidata.org/wiki/Q3366867","display_name":"Test particle","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.25220000743865967},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.25200000405311584},{"id":"https://openalex.org/C90167683","wikidata":"https://www.wikidata.org/wiki/Q903040","display_name":"Impact parameter","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.30011","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30011","pdf_url":"https://arxiv.org/pdf/2609.30011","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.2609.30011","doi":"https://doi.org/10.48550/arxiv.2609.30011","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.30011","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:2609.30011","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30011","pdf_url":"https://arxiv.org/pdf/2609.30011","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/W7214347198.pdf","grobid_xml":"https://content.openalex.org/works/W7214347198.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2036510681"],"related_works":["https://openalex.org/W4405570491","https://openalex.org/W3012482296","https://openalex.org/W4410288695","https://openalex.org/W2938512813","https://openalex.org/W3184224949","https://openalex.org/W2029180928","https://openalex.org/W7220906152","https://openalex.org/W4324071246","https://openalex.org/W4323050068","https://openalex.org/W4311437763"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,10,22,28,40,44,47,50,55,65,74,81,98,101,104,112,116,130,137,144,154,158],"spinoptics":[3,145],"equations":[4,42,64],"for":[5,43,54],"test":[6],"electromagnetic":[7],"wave":[8],"in":[9],"Reissner-Nordstr\u00f6m":[11],"spacetime.":[12],"The":[13],"explicit":[14],"and":[15,53,123],"hidden":[16],"symmetries":[17],"of":[18,46,58,103],"this":[19,36],"background":[20],"allow":[21],"complex":[23],"null":[24,29,51],"tetrad":[25,37],"parallel-propagated":[26],"along":[27],"geodesic":[30,52],"to":[31,73,136],"be":[32],"constructed":[33],"explicitly.":[34],"From":[35],"we":[38],"obtain":[39],"evolution":[41],"deviation":[45],"ray":[48,155],"from":[49,97],"tilting":[56,106,132],"angle":[57,107,133],"its":[59,119],"orbital":[60],"plane.":[61],"In":[62],"these":[63],"charge":[66],"term":[67],"enters":[68],"with":[69,88,109],"a":[70,92],"sign":[71],"opposite":[72],"mass":[75],"term.":[76],"Numerical":[77],"integration":[78],"confirms":[79],"that":[80],"gravitational":[82],"spin":[83],"Hall":[84],"effect":[85],"becomes":[86],"weaker":[87],"increasing":[89],"charge:":[90],"at":[91],"fixed":[93],"impact":[94],"parameter":[95],"away":[96],"critical":[99],"value,":[100],"magnitude":[102,120],"dimensionless":[105],"decreases":[108],"$Q$.":[110],"As":[111],"turning":[113],"point":[114],"approaches":[115],"photon":[117,159],"sphere,":[118],"grows":[121],"firstly,":[122],"then":[124],"exhibits":[125],"an":[126],"oscillatory":[127],"behavior.":[128],"Since":[129],"physical":[131],"is":[134,147],"proportional":[135],"reduced":[138],"wavelength,":[139],"it":[140],"remains":[141],"small":[142],"whenever":[143],"approximation":[146],"applicable.":[148],"A":[149],"divergence":[150],"occurs":[151],"only":[152],"when":[153],"travels":[156],"on":[157],"sphere.":[160]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}