منابع مشابه
Information geometry of asymptotically AdS black holes
We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordström Anti-de Sitter in four dimensions and the BTZ black hole. It is found that the Anti-de Sitter space renders the geometry nontrivial (cf. the ReissnerNordström black hole in asymptotically flat background). The BTZ black hole’s thermodynamic geometry is trivial despit...
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We propose that Strominger’s method to derive the BTZ black hole entropy is in fact applicable to other asymptotically AdS3 black holes and gives the correct functional form of entropies. We discuss various solutions in the Einstein-Maxwell theory, dilaton gravity, Einsteinscalar theories, and Einstein-Maxwell-dilaton theory. In some cases, solutions approach AdS3 asymptotically, but their entr...
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We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...
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A model of 3+1 dimensional gravity with negative cosmological constant coupled to abelian gauge fields has been proposed as a gravity dual for Lifshitz like critical phenomena in 2+1 dimensions. The finite temperature behavior is described by black holes that are asymptotic to the Lifshitz fixed point geometry. There is a one-parameter family of charged black holes, where the magnitude of the c...
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We study the quantum modifications of classical, spherically symmetric Schwarzschild (Anti-) de Sitter black holes within Quantum Einstein Gravity. The quantum effects are incorporated through the running coupling constants Gk and Λk, computed within the exact renormalization group approach, and a common scalesetting procedure. We find that, in contrast to common intuition, it is actually the c...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2010
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-010-0991-7