Stability Properties of Geometrothermodynamic Cosmological Models

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

doi:10.3390/e25101391

Stability Properties of Geometrothermodynamic Cosmological Models

Entropy (Basel). 2023 Sep 28;25(10):1391. doi: 10.3390/e25101391.

Authors

Nurzada Beissen¹, Medeu Abishev^{1

2}, Manas Khassanov¹, Temirbolat Aitassov³, Sagira Mamatova¹, Saken Toktarbay^{1

4}

Affiliations

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.

Keywords: cosmology; geometrothermodynamics.

Grants and funding

This research was funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant No. AP14869876).