Cosmological applications of geometrothermodynamics

H. Quevedo1, H. Quevedo2, M.N. Quevedo3


Geometrothermodynamics is a mathematical formalism that intends to describe the properties of thermodynamic systems in terms of concepts of differential geometry. We show that it is possible to consider thermodynamic systems as extremal surfaces embedded in the thermodynamic phase space. Any extremal surface is determined by a relationship that can be interpreted as a fundamental equation from which all physical properties of the corresponding thermodynamic system can be derived. We consider particular examples from which we derive the thermodynamics of several cosmological models and show that they describe different phases of the evolution of the Universe, including inflation.


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