Geometrothermodynamics of asymptotically Anti-de Sitter black holes
Hernando Quevedo,Alberto Sánchez +1 more
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In this article, the authors apply geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions, and show that the curvature scalar of the thermodynamic metric in all the cases is proportional to the heat capacity.Abstract:
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 in all the cases is proportional to the heat capacity. As a consequence, phase transitions, which correspond to divergencies of the heat capacity, are represented geometrically as true curvature singularities. We interpret this as a further indication that the curvature of the thermodynamic metric is a measure of thermodynamic interaction.read more
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References
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Charged AdS black holes and catastrophic holography
TL;DR: In this paper, the authors compute the properties of a class of charged black holes in anti-de Sitter space-time, in diverse dimensions and uncover rich thermodynamic phase structures for these systems, which display classic critical phenomena, including structures isomorphic to the van der Waals-Maxwell liquid-gas system.
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Stability of gravity with a cosmological constant
L. F. Abbott,Stanley Deser +1 more
TL;DR: In this article, the stability properties of the cosmological constant Λ with respect to the de Sitter background were investigated and the effects of an event horizon, which leads to Hawking radiation, are expressed for general field hamiltonians.