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Hamilton-Jacobi formulation of the thermodynamics of Einstein-Born-Infeld-AdS black holes

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dc.contributor.departmentDepartment of Physics
dc.contributor.departmentGraduate School of Sciences and Engineering
dc.contributor.kuauthorÜnlütürk, Kıvanç İbrahim
dc.contributor.kuauthorDereli, Tekin
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.schoolcollegeinstituteGRADUATE SCHOOL OF SCIENCES AND ENGINEERING
dc.date.accessioned2024-11-09T13:46:48Z
dc.date.issued2019
dc.description.abstractA Hamilton-Jacobi formalism for thermodynamics was formulated by Rajeev (Ann. Phys., 323 (2008) 2265) based on the contact structure of the odd-dimensional thermodynamic phase space. This allows one to derive the equations of state of a family of substances by solving a Hamilton-Jacobi equation (HJE). In the same work it was applied to changeless non-rotating black holes, and the use of Born-Infeld electromagnetism was proposed to apply it to charged black holes as well. This paper fulfills this suggestion by deriving the HJE for charged non-rotating black holes using the Born-Infeld theory and a negative cosmological constant. The most general solution of this HJE is found. It is shown that there exist solutions which are distinct from the equations of state of the Einstein-Born-Infeld-AdS (EBIAdS) black hole. The meaning of these solutions is discussed.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipN/A
dc.description.versionAuthor's final manuscript
dc.description.volume125
dc.identifier.doi10.1209/0295-5075/125/10005
dc.identifier.eissn1286-4854
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01887
dc.identifier.issn0295-5075
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85062914486
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3727
dc.identifier.wos457183600004
dc.keywordsGravity
dc.language.isoeng
dc.publisherInstitute of Physics (IOP) Publishing
dc.relation.grantnoNA
dc.relation.ispartofEPL
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8571
dc.subjectPhysics, multidisciplinary
dc.titleHamilton-Jacobi formulation of the thermodynamics of Einstein-Born-Infeld-AdS black holes
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorDereli, Dündar Tekin
local.contributor.kuauthorÜnlütürk, Kıvanç İbrahim
local.publication.orgunit1College of Sciences
local.publication.orgunit1GRADUATE SCHOOL OF SCIENCES AND ENGINEERING
local.publication.orgunit2Department of Physics
local.publication.orgunit2Graduate School of Sciences and Engineering
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