Stability Properties of Geometrothermodynamic Cosmological Models

We consider a particular isotropic and homogeneous cosmological model, in which the equation of state is obtained from a thermodynamic fundamental equation by using the formalism of geometrothermodynamics (GTD). The model depends effectively on three arbitrary constants, which can be fixed to reproduce the main aspects of the inflationary era and the Lambda CDM paradigm. We use GTD to analyze the geometric properties of the corresponding equilibrium space and to derive the stability properties and phase transition structure of the cosmological model.

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This paper studies a specific isotropic and homogeneous cosmological model, analyzes the geometric properties of the model using the formalism of geometrothermodynamics, and derives the stability properties and phase transition structure of the cosmological model.