Extending the generalized Chaplygin gas model by using geometrothermodynamics

Abstract

We use the formalism of geometrothermodynamics (GTD) to derive fundamental thermodynamic equations that are used to construct general relativistic cosmological models. In particular, we show that the simplest possible fundamental equation, which corresponds in GTD to a system with no internal thermodynamic interaction, describes the different fluids of the standard model of cosmology. In addition, a particular fundamental equation with internal thermodynamic interaction is shown to generate a new cosmological model that correctly describes the dark sector of the Universe and contains as a special case the generalized Chaplygin gas model.

18 pages, 7 figures. Section added: Basics aspects of geometrothermodynamics

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• Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly
• Dark energy from Geometrothermodynamics
• Geometrothermodynamic cosmology
• Geometrothermodynamic model for the evolution of the Universe
• Statistical origin of Legendre invariant metrics
• Representation invariant Geometrothermodynamics: applications to ordinary thermodynamic systems
• Scalar and vector perturbations in a universe with nonlinear perfect fluid
• A geometric description of blackbody-like systems in thermodynamic equilibrium