2008/11/15 by Hernando Quevedo, Alberto Sanchez · 2 citations
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.79.024012
published as Phys.Rev.D79:024012,2009
arxiv created 2008/11/15 · arxiv updated 2009/12/01
We 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.