{"id":"https://openalex.org/W2127900528","doi":"https://doi.org/10.1142/s0217732301004960","title":"BLACK HOLE ENTROPY BY THE BRICK-WALL METHOD IN FOUR AND FIVE DIMENSIONS WITH U(1) CHARGES","display_name":"BLACK HOLE ENTROPY BY THE BRICK-WALL METHOD IN FOUR AND FIVE DIMENSIONS WITH U(1) CHARGES","publication_year":2001,"publication_date":"2001-12-21","ids":{"openalex":"https://openalex.org/W2127900528","doi":"https://doi.org/10.1142/s0217732301004960","mag":"2127900528"},"language":"en","primary_location":{"id":"doi:10.1142/s0217732301004960","doi":"https://doi.org/10.1142/s0217732301004960","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217732301004960","pdf_url":null,"source":{"id":"https://openalex.org/S45468527","display_name":"Modern Physics Letters A","issn_l":"0217-7323","issn":["0217-7323","1793-6632"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern Physics Letters A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.worldscinet.com/mpla/16/preserved-docs/1639/S0217732301004960.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040537120","display_name":"Elcio Abdalla A","orcid":"https://orcid.org/0000-0002-9814-1690","observed_orcids":["https://orcid.org/0000-0002-9814-1690"]},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"ELCIO ABDALLA","raw_affiliation_strings":["Instituto de F\u00edsica, Universidade de  S\u00e3o Paulo, C.P. 66318, CEP 05315-970, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidade de  S\u00e3o Paulo, C.P. 66318, CEP 05315-970, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":null,"display_name":"L. ALEJANDRO CORREA-BORBONET","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"L. ALEJANDRO CORREA-BORBONET","raw_affiliation_strings":["Instituto de F\u00edsica, Universidade de  S\u00e3o Paulo, C.P. 66318, CEP 05315-970, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidade de  S\u00e3o Paulo, C.P. 66318, CEP 05315-970, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.1772,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.59003209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"16","issue":"39","first_page":"2495","last_page":"2503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9994999766349792,"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":0.9994999766349792,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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":0.0,"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/black-hole-entropy","display_name":"black hole entropy","score":0.9950000047683716},{"id":"https://openalex.org/keywords/bekenstein-hawking-entropy","display_name":"Bekenstein-Hawking entropy","score":0.7429999709129333},{"id":"https://openalex.org/keywords/u-1-charge","display_name":"U(1) charge","score":0.8220000267028809},{"id":"https://openalex.org/keywords/scalar-field","display_name":"scalar field","score":0.6290000081062317},{"id":"https://openalex.org/keywords/five-dimensional-black-holes","display_name":"five-dimensional black holes","score":0.7229999899864197},{"id":"https://openalex.org/keywords/four-dimensional-black-holes","display_name":"four-dimensional black holes","score":0.9769999980926514},{"id":"https://openalex.org/keywords/statistical-entropy","display_name":"statistical entropy","score":0.6449999809265137},{"id":"https://openalex.org/keywords/entropy-correction","display_name":"entropy correction","score":0.621999979019165}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9456999897956848},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6474000215530396},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.4693000018596649},{"id":"https://openalex.org/C63745668","wikidata":"https://www.wikidata.org/wiki/Q911284","display_name":"Black hole thermodynamics","level":3,"score":0.4343000054359436},{"id":"https://openalex.org/C33932047","wikidata":"https://www.wikidata.org/wiki/Q375553","display_name":"Boltzmann's entropy formula","level":3,"score":0.4341000020503998},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41659998893737793},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3617999851703644},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35659998655319214},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3481000065803528},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3449000120162964},{"id":"https://openalex.org/C104062141","wikidata":"https://www.wikidata.org/wiki/Q2601295","display_name":"Extremal black hole","level":3,"score":0.33970001339912415},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3361999988555908},{"id":"https://openalex.org/C144951741","wikidata":"https://www.wikidata.org/wiki/Q131468","display_name":"White hole","level":3,"score":0.3158999979496002},{"id":"https://openalex.org/C179434709","wikidata":"https://www.wikidata.org/wiki/Q899853","display_name":"H-theorem","level":5,"score":0.3124000132083893},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3109000027179718},{"id":"https://openalex.org/C183915046","wikidata":"https://www.wikidata.org/wiki/Q1316152","display_name":"Charged black hole","level":4,"score":0.3025999963283539},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C87452409","wikidata":"https://www.wikidata.org/wiki/Q740956","display_name":"Black brane","level":4,"score":0.2768000066280365},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0217732301004960","doi":"https://doi.org/10.1142/s0217732301004960","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217732301004960","pdf_url":null,"source":{"id":"https://openalex.org/S45468527","display_name":"Modern Physics Letters A","issn_l":"0217-7323","issn":["0217-7323","1793-6632"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern Physics Letters A","raw_type":"journal-article"},{"id":"pmh:001252787","doi":null,"is_oa":true,"landing_page_url":"http://www.worldscinet.com/mpla/16/preserved-docs/1639/S0217732301004960.pdf","pdf_url":"http://www.worldscinet.com/mpla/16/preserved-docs/1639/S0217732301004960.pdf","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"instacron:USP","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:hep-th/0012101","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-th/0012101","pdf_url":"https://arxiv.org/pdf/hep-th/0012101","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":"pmh:oai:cds.cern.ch:480354","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/480354","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.hep-th/0012101","doi":"https://doi.org/10.48550/arxiv.hep-th/0012101","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.hep-th/0012101","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":"article-journal"}],"best_oa_location":{"id":"pmh:001252787","doi":null,"is_oa":true,"landing_page_url":"http://www.worldscinet.com/mpla/16/preserved-docs/1639/S0217732301004960.pdf","pdf_url":"http://www.worldscinet.com/mpla/16/preserved-docs/1639/S0217732301004960.pdf","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"instacron:USP","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323809","display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o","ror":"https://ror.org/04d0xx942"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2127900528.pdf","grobid_xml":"https://content.openalex.org/works/W2127900528.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1771066378","https://openalex.org/W1965571158","https://openalex.org/W1980981098","https://openalex.org/W1990247389","https://openalex.org/W1990869522","https://openalex.org/W1995671140","https://openalex.org/W2019552801","https://openalex.org/W2036794971","https://openalex.org/W2043483422","https://openalex.org/W2073614231","https://openalex.org/W2090386790","https://openalex.org/W2130491267","https://openalex.org/W2141586044","https://openalex.org/W2174613881","https://openalex.org/W3098678731","https://openalex.org/W4249956767"],"related_works":["https://openalex.org/W7098965674","https://openalex.org/W3188588908","https://openalex.org/W2791647015","https://openalex.org/W2086474102","https://openalex.org/W2147096626","https://openalex.org/W7097717328","https://openalex.org/W7098700721","https://openalex.org/W7097170308","https://openalex.org/W1973140843","https://openalex.org/W2319024571"],"abstract_inverted_index":{"Using":[0],"the":[1,6,50],"brick-wall":[2],"method":[3],"we":[4],"compute":[5],"statistical":[7],"entropy":[8,40],"of":[9],"a":[10,14],"scalar":[11],"field":[12],"in":[13,17,49],"nontrivial":[15],"background,":[16],"two":[18],"different":[19],"cases.":[20],"These":[21],"backgrounds":[22],"are":[23,47],"generated":[24],"by":[25],"four-":[26],"and":[27,33],"five-dimensional":[28],"black":[29],"holes":[30],"with":[31],"four":[32],"three":[34],"U(1)":[35],"charges":[36],"respectively.":[37],"The":[38],"Bekenstein":[39],"formula":[41],"is":[42],"generally":[43],"obeyed,":[44],"but":[45],"corrections":[46],"discussed":[48],"latter":[51],"case.":[52]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}