Euclidean analysis of the entropy functional formalism

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dc.creatorDias, Oscar J. C.
dc.creatorSilva, Pedro J.
dc.date2007-04-11
dc.date2008-03-05
dc.date.accessioned2026-07-07T11:20:14Z
dc.date.available2026-07-07T11:20:14Z
dc.descriptionThe attractor mechanism implies that the supersymmetric black hole near horizon solution is defined only in terms of the conserved charges and is therefore independent of asymptotic moduli. Starting only with the near horizon geometry, Sen's entropy functional formalism computes the entropy of an extreme black hole by means of a Legendre transformation where the electric fields are defined as conjugated variables to the electric charges. However, traditional Euclidean methods require the knowledge of the full geometry to compute the black hole thermodynamic quantities. We establish the connection between the entropy functional formalism and the standard Euclidean formalism taken at zero temperature. We find that Sen's entropy function 'f' (on-shell) matches the zero temperature limit of the Euclidean action. Moreover, Sen's near horizon angular and electric fields agree with the chemical potentials that are defined from the zero-temperature limit of the Euclidean formalism.
dc.description37 pages. v3: Footnote and Reference added. Published version
dc.identifierhttps://arxiv.org/abs/0704.1405
dc.identifierhttp://arxiv.org/abs/0704.1405
dc.identifierPhys.Rev.D77:084011,2008
dc.identifierdoi:10.1103/PhysRevD.77.084011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193897
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEuclidean analysis of the entropy functional formalism
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