Geometrothermodynamic model for the evolution of the Universe

TL;DR

This paper develops a geometrothermodynamic cosmological model that unifies the description of all Universe epochs, from inflation to the current era, by deriving a fundamental thermodynamic equation.

Contribution

It introduces a novel geometrothermodynamic framework to model the Universe's evolution, encompassing inflation and standard cosmological phases.

Findings

Equivalent to the $mbda$CDM model without thermodynamic interaction

Inclusion of thermodynamic interaction models inflationary dynamics

Describes all known epochs of Universe evolution

Abstract

Using the formalism of geometrothermodynamics to derive a fundamental thermodynamic equation, we construct a cosmological model in the framework of relativistic cosmology. In a first step, we describe a system without thermodynamic interaction, and show it to be equivalent to the standard $\Lambda$CDM paradigm. The second step includes thermodynamic interaction and produces a model consistent with the main features of inflation. With the proposed fundamental equation we are thus able to describe all the known epochs in the evolution of our Universe, starting from the inflationary phase.