Dark energy from Geometrothermodynamics

Abstract

Geometrothermodynamics is a geometric theory which combines thermodynamics with contact and Riemannian geometry. In this work we use the formalism of geometrothermodynamics to infer cosmological models which predict the observed speed up. As a relevant consequence, our simple model shows dynamical properties which seem to fairly well describe the late time universe dynamics. To do so, we use geometric considerations about constant thermodynamic curvature and derive the model of a fluid which is expected to \emph{naturally} reproduce the dark energy effects. In particular, our approach reduces to the $\Lambda$CDM model in the limiting case of small redshift, providing however significative departures from $\Lambda$CDM as the universe expands. The main goal consists in interpreting our \emph{geometrothermodynamic fluid} as an energetic source and to explain the dark energy effects as emerging from the interplay between geometry and thermodynamics, providing a new interpretation of the observed positive acceleration.

9 pages; 2 figures

References in corpus (18)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Pressure and volume in the first law of black hole thermodynamics
• Geometrothermodynamics
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Geometrothermodynamics of black holes
• Cosmographic Constraints and Cosmic Fluids
• The phenomenological approach to modeling the dark energy
• Unified geometric description of black hole thermodynamics
• Entropy evolution of universes with initial and final de Sitter eras
• Phase transitions in geometrothermodynamics
• Consistent perturbations in an imperfect fluid
• Cosmological measure with volume averaging and the vacuum energy problem
• Geometrothermodynamics of higher dimensional black holes
• Constraining the dark fluid
• Extending the generalized Chaplygin gas model by using geometrothermodynamics
• Thermodynamics and dark energy
• The conformal metric structure of Geometrothermodynamics

Cited by in corpus (7)

• Cosmographic Constraints and Cosmic Fluids
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Weak field limit and gravitational waves in higher-order gravity
• Geometrothermodynamics of van der Waals systems
• Geometrothermodynamic cosmology
• Thermodynamic Geodesics of a Reissner Nordström Black Hole
• Thermodynamic parametrization of dark energy