Geometric description of BTZ black holes thermodynamics

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dc.creatorQuevedo, Hernando
dc.creatorSanchez, Alberto
dc.date2008-11-15
dc.date.accessioned2026-07-07T12:31:53Z
dc.date.available2026-07-07T12:31:53Z
dc.descriptionWe study the properties of the space of thermodynamic equilibrium states of the Bañados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the formalism of geometrothermodynamics to introduce in the space of equilibrium states a $2-$dimensional thermodynamic metric whose curvature is non-vanishing, indicating the presence of thermodynamic interaction, and free of singularities, indicating the absence of phase transitions. Similar results are obtained for generalizations of the BTZ black hole which include a Chern-Simons term and a dilatonic field. Small logarithmic corrections of the entropy turn out to be represented by small corrections of the thermodynamic curvature, reinforcing the idea that thermodynamic curvature is a measure of thermodynamic interaction.
dc.identifierhttps://arxiv.org/abs/0811.2524
dc.identifierhttp://arxiv.org/abs/0811.2524
dc.identifierPhys.Rev.D79:024012,2009
dc.identifierdoi:10.1103/PhysRevD.79.024012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216601
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeometric description of BTZ black holes thermodynamics
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