Geometrothermodynamics of black holes in two dimensions

Abstract

We study the properties of two-dimensional dilatonic black holes from the viewpoint of geometrothermodynamics. We show that the thermodynamic curvature of the equilibrium space vanishes only in the case of a flat spacetime, and it reproduces correctly the behavior of the thermodynamic interaction and phase transition structure of the corresponding black hole configurations.

Final version, published in Phys. Rev. D 79, 087504 (2009)

References in corpus (7)

• Geometrothermodynamics
• Geometrothermodynamics of asymptotically anti - de Sitter black holes
• Unified geometric description of black hole thermodynamics
• Flux Backgrounds in 2D String Theory
• Geometric description of BTZ black holes thermodynamics
• Ruppeiner theory of black hole thermodynamics
• Duality in 2-dimensional dilaton gravity

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• Geometrothermodynamics in Horava-Lifshitz gravity
• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
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• Greybody Factors of Massive Charged Fermionic Fields in a Charged Two-Dimensional Dilatonic Black Hole
• Reparametrizations and metric structures in thermodynamic phase space
• Geometric curvatures of plane symmetry black hole