On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes

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dc.creatorCai, Rong-Gen
dc.creatorCao, Li-Ming
dc.date2007-04-10
dc.date2007-07-30
dc.date.accessioned2026-07-07T11:20:13Z
dc.date.available2026-07-07T11:20:13Z
dc.descriptionIn this paper we elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole entropy given by A. Sen can be derived from the general entropy definition of Wald, without help of the treatment of rescaling the AdS_2 part of near horizon geometry of extremal black holes. In our procedure, we only require that the surface gravity approaches to zero, and it is easy to understand the Legendre transformation of f, the integration of Lagrangian density on the horizon, with respect to the electric charges. Since the Noether charge form can be defined in an "off-shell" form, we define a corresponding entropy function, with which one can discuss the attractor mechanism for extremal black holes with scalar fields.
dc.descriptionv3: Revtex4, 19 pages, discussion added, mistakes corrected, final version; to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0704.1239
dc.identifierhttp://arxiv.org/abs/0704.1239
dc.identifierPhys.Rev.D76:064010,2007
dc.identifierdoi:10.1103/PhysRevD.76.064010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193894
dc.subjectHigh Energy Physics - Theory
dc.titleOn the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
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