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dc.contributor.author
Donnay, Laura
dc.contributor.author
Giribet, Gaston Enrique
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dc.contributor.author
González, Alejandro Hernán
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dc.contributor.author
Pino, Miguel
dc.date.available
2018-06-19T16:25:37Z
dc.date.issued
2016-09
dc.identifier.citation
Donnay, Laura; Giribet, Gaston Enrique; González, Alejandro Hernán; Pino, Miguel; Extended symmetries at the black hole horizon; Springer; Journal of High Energy Physics; 100; 9; 9-2016; 1-24
dc.identifier.issn
1126-6708
dc.identifier.uri
http://hdl.handle.net/11336/49285
dc.description.abstract
We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive the algebra of asymptotic Killing vectors, which is shown to be infinite-dimensional and includes, in particular, two sets of supertranslations and two mutually commuting copies of the Virasoro algebra. We define the surface charges associated to the asymptotic diffeomorphisms that preserve the boundary conditions and discuss the subtleties of this definition, such as the integrability conditions and the correct definition of the Dirac brackets. When evaluated on the stationary solutions, the only non-vanishing charges are the zero-modes. One of them reproduces the Bekenstein-Hawking entropy of Kerr black holes. We also study the extremal limit, recovering the NHEK geometry. In this singular case, where the algebra of charges and the integrability conditions get modified, we find that the computation of the zero-modes correctly reproduces the black hole entropy. Furthermore, we analyze the case of three spacetime dimensions, in which the integrability conditions notably simplify and the field equations can be solved analytically to produce a family of exact solutions that realize the boundary conditions explicitly. We examine other features, such as the form of the algebra in the extremal limit and the relation to other works in the literature.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Agujeros Negros
dc.subject
Algebras Infinito-Dimensionales
dc.subject.classification
Astronomía
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Extended symmetries at the black hole horizon
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-06-12T16:06:12Z
dc.journal.volume
100
dc.journal.number
9
dc.journal.pagination
1-24
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlin
dc.description.fil
Fil: Donnay, Laura. Université Libre de Bruxelles; Bélgica
dc.description.fil
Fil: Giribet, Gaston Enrique. Université Libre de Bruxelles; Bélgica. Pontificia Universidad Católica de Valparaíso; Chile. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: González, Alejandro Hernán. Université Libre de Bruxelles; Bélgica
dc.description.fil
Fil: Pino, Miguel. Universidad de Santiago de Chile; Chile
dc.journal.title
Journal of High Energy Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP09(2016)100
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP09(2016)100
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