{"id":"https://openalex.org/W1987380182","doi":"https://doi.org/10.3390/e14112291","title":"Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity","display_name":"Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity","publication_year":2012,"publication_date":"2012-11-12","ids":{"openalex":"https://openalex.org/W1987380182","doi":"https://doi.org/10.3390/e14112291","mag":"1987380182"},"language":"en","primary_location":{"id":"doi:10.3390/e14112291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112291","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2291/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/11/2291/pdf?version=1424784906","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112515324","display_name":"Takashi Torii","orcid":null},"institutions":[{"id":"https://openalex.org/I72375662","display_name":"Osaka Institute of Technology","ror":"https://ror.org/02znffm54","country_code":"JP","type":"education","lineage":["https://openalex.org/I72375662"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takashi Torii","raw_affiliation_strings":["Department of General Education, Osaka Institute of Technology, 5-16-1, Omiya, Asahi-ku,Osaka, 535-8585, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of General Education, Osaka Institute of Technology, 5-16-1, Omiya, Asahi-ku,Osaka, 535-8585, Japan","institution_ids":["https://openalex.org/I72375662"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112515324"],"corresponding_institution_ids":["https://openalex.org/I72375662"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.017302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"11","first_page":"2291","last_page":"2301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998999834060669,"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":0.9998999834060669,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9995999932289124,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.9959999918937683,"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/physics","display_name":"Physics","score":0.68818199634552},{"id":"https://openalex.org/keywords/apparent-horizon","display_name":"Apparent horizon","score":0.5823017954826355},{"id":"https://openalex.org/keywords/black-hole","display_name":"Black hole (networking)","score":0.5737579464912415},{"id":"https://openalex.org/keywords/black-hole-thermodynamics","display_name":"Black hole thermodynamics","score":0.5545880198478699},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.49098852276802063},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.45094820857048035},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"Cosmological constant","score":0.44828498363494873},{"id":"https://openalex.org/keywords/event-horizon","display_name":"Event horizon","score":0.42602306604385376},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4080164432525635},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3858755826950073},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.33037182688713074},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.32398951053619385},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.3059556782245636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16880783438682556},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.136362224817276}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.68818199634552},{"id":"https://openalex.org/C17777063","wikidata":"https://www.wikidata.org/wiki/Q4780925","display_name":"Apparent horizon","level":4,"score":0.5823017954826355},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.5737579464912415},{"id":"https://openalex.org/C63745668","wikidata":"https://www.wikidata.org/wiki/Q911284","display_name":"Black hole thermodynamics","level":3,"score":0.5545880198478699},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.49098852276802063},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.45094820857048035},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.44828498363494873},{"id":"https://openalex.org/C148292158","wikidata":"https://www.wikidata.org/wiki/Q181741","display_name":"Event horizon","level":3,"score":0.42602306604385376},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4080164432525635},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3858755826950073},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.33037182688713074},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.32398951053619385},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3059556782245636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16880783438682556},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.136362224817276},{"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/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e14112291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112291","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2291/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cf01e717f29a45b8bf1843b3a8308d55","is_oa":true,"landing_page_url":"https://doaj.org/article/cf01e717f29a45b8bf1843b3a8308d55","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 14, Iss 11, Pp 2291-2301 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/11/2291/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14112291","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 14; Issue 11; Pages: 2291-2301","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14112291","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112291","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2291/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[{"id":"https://openalex.org/G4878438796","display_name":"Numerical Investigations of Singularities in Higher-Dimensional Space-time","funder_award_id":"22540293","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1987380182.pdf","grobid_xml":"https://content.openalex.org/works/W1987380182.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1633561390","https://openalex.org/W1889142700","https://openalex.org/W1963973334","https://openalex.org/W1965571158","https://openalex.org/W1966980014","https://openalex.org/W1978137192","https://openalex.org/W1979557478","https://openalex.org/W1985071512","https://openalex.org/W1988080472","https://openalex.org/W1991545874","https://openalex.org/W2002240563","https://openalex.org/W2005023034","https://openalex.org/W2008102064","https://openalex.org/W2011723943","https://openalex.org/W2026040877","https://openalex.org/W2033735023","https://openalex.org/W2040558894","https://openalex.org/W2042650304","https://openalex.org/W2047081953","https://openalex.org/W2048446165","https://openalex.org/W2065805883","https://openalex.org/W2072883895","https://openalex.org/W2084042440","https://openalex.org/W2085840075","https://openalex.org/W2090386790","https://openalex.org/W2096798206","https://openalex.org/W2101862267","https://openalex.org/W2106979190","https://openalex.org/W2108734736","https://openalex.org/W2118082065","https://openalex.org/W2130491267","https://openalex.org/W2133991478","https://openalex.org/W2146478425","https://openalex.org/W2159755659","https://openalex.org/W2763963275","https://openalex.org/W2949619929","https://openalex.org/W2953154829","https://openalex.org/W3000019265","https://openalex.org/W3101093769","https://openalex.org/W3103311487","https://openalex.org/W3103686122","https://openalex.org/W3105218335","https://openalex.org/W4235412891","https://openalex.org/W4238238625","https://openalex.org/W4249956767","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3122400526","https://openalex.org/W3105297335","https://openalex.org/W2900567554","https://openalex.org/W4309562175","https://openalex.org/W3098365516","https://openalex.org/W2074820591","https://openalex.org/W1019579828","https://openalex.org/W3100806821","https://openalex.org/W2344321023","https://openalex.org/W2891073096"],"abstract_inverted_index":{"We":[0],"examine":[1],"the":[2,6,24,35,38,43,47,51,55,62,68,75,83,100],"weak":[3],"version":[4],"of":[5,9,37,61,99],"third":[7,101],"law":[8],"black":[10,26,49],"hole":[11,27],"thermodynamics":[12],"inthe":[13],"n-dimensional":[14],"Einstein\u2013Gauss\u2013Bonnet":[15],"system":[16],"with":[17,29],"a":[18,79,97],"negative":[19],"cosmological":[20],"constant.To":[21],"see":[22],"whether":[23],"extreme":[25,48],"solution":[28],"zero":[30],"temperature":[31],"is":[32,86],"formed,":[33],"weinvestigate":[34],"motion":[36],"thin":[39],"shell":[40,63],"that":[41,74],"has":[42],"equal":[44],"mass":[45],"to":[46],"holein":[50],"background":[52],"described":[53],"by":[54],"non-GR":[56],"branch":[57],"solutions.":[58],"The":[59],"interior":[60],"isempty.":[64],"Our":[65],"analysis":[66],"using":[67],"generalized":[69],"Israel's":[70],"junction":[71],"condition":[72],"shows":[73],"shellcan":[76],"contract":[77],"beyond":[78],"certain":[80],"radius":[81],"and":[82],"degenerate":[84],"horizon":[85],"formed":[87],"for":[88],"same":[89],"range":[90],"ofparameters.":[91],"Hence,":[92],"this":[93],"model":[94],"can":[95],"be":[96],"counterexample":[98],"law.":[102]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
