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KIAM Preprint  105, Moscow, 2020
Authors: Kolesnichenko A.V., Marov M.Ya.
The scenario of the accelerated expansion of the Universe under the influence of entropic forces associated with the entropies of Tsallis-Cirto and Barrow
Abstract:
In the work within the framework of 'entropic cosmology', the scenario of the cosmological accelerated expansion of a flat, homogeneous and isotropic Universe under the influence of entropic forces is considered without the concept of dark energy a hypothetical medium with negative pressure. Assuming that the horizon of the Universe has its own temperature and entropy, which arises during the holographic storage of information on the screen of the horizon surface, the entropy models of the Universe associated with the BekensteinHawking entropy and the non-extensive TsallisCirto and Barrow entropies are considered. The modified equations of acceleration and continuity of Friedmann with governing power terms having an entropic nature are derived both within the framework of Einstein's general theory of relativity and on the basis of a thermodynamic approach that allows modeling the non-adiabatic evolution of the Universe. At the same time, models based on nonextensive entropies predict the existence of both a decelerating and accelerating Universe.
Keywords:
entropy cosmology, Barrow, Bekenstein-Hawking and Tsallis-Cirto entropies, accelerated expansion of the Universe
Publication language: russian,  pages: 38
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Kolesnichenko Aleksandr Vladimirovich,  orcid.org/0000-0003-1416-5634KIAM RAS
  • Marov Mikhail Yakovlevich,  ,  Institute of Geochemistry and Analytical Chemistry. V. I. Vernadsky