Stability Properties of Geometrothermodynamic Cosmological Models

Author:

Beissen Nurzada1ORCID,Abishev Medeu12ORCID,Khassanov Manas1ORCID,Aitassov Temirbolat3ORCID,Mamatova Sagira1ORCID,Toktarbay Saken14ORCID

Affiliation:

1. Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

2. Institute of Nuclear Physics, 1 Ibragimova St., Almaty 050032, Kazakhstan

3. Department of Mathematics, Physics and Informatics Teaching Methods, Abai Kazakh National Pedagogical University, Almaty 050010, Kazakhstan

4. Department of Physics, Kazakh National Women’s Teacher Training University, Almaty 050000, Kazakhstan

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.

Funder

Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference29 articles.

1. Liddle, A. (2015). An Introduction to Modern Cosmology, John Wiley & Sons.

2. Extending the generalized Chaplygin gas model by using geometrothermodynamics;Aviles;Phys. Rev. D,2012

3. Gruber, C., and Quevedo, H. (2017). An effective model for inflation from geometrothermodynamics: A detailed analysis of thermodynamics and cosmological perturbations. arXiv.

4. Extensions of modified Chaplygin gas from Geometrothermodynamics;Benaoum;Eur. Phys. J. C,2019

5. Luongo, O., and Quevedo, H. (2023). Geometrothermodynamic cosmology. Entropy, 25.

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