Stability Properties of Geometrothermodynamic Cosmological Models

Nurzada Beissen, Medeu Abishev, Manas Khassanov, Temirbolat Aitassov, Sagira Mamatova, Saken Toktarbay

Entropy, 2023

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DOI 10.3390/e25101391
Data confidence 70 medium
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Abstract

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 ΛCDM 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.