Friedmann Cosmological Equations in the Sharma–Mittal Entropy Formalism

Using the Verlinde formalism, several scenarios for the evolution of the Friedmann–Robertson–Walker universe are considered, which are possible within the entropic cosmology based on a new modification of the Sharma–Mittal entropic measure. The study within the nonextensive statistical theory uses s...

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Bibliographic Details
Published in:Astronomy reports 2022-09, Vol.66 (9), p.786-799
Main Authors: Kolesnichenko, A. V., Marov, M. Ya
Format: Article
Language:English
Subjects:
Astronomy
Cosmology
Dark energy
Entropy
Evolution
Formalism
Horizon
Observations and Techniques
Physics
Physics and Astronomy
Statistical analysis
Thermodynamic models
Universe
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Summary:Using the Verlinde formalism, several scenarios for the evolution of the Friedmann–Robertson–Walker universe are considered, which are possible within the entropic cosmology based on a new modification of the Sharma–Mittal entropic measure. The study within the nonextensive statistical theory uses several entropic measures associated with the cosmological horizon due to the holographic data stored in it. Several versions of the generalized Friedmann equations have been constructed, which can serve as an effective theoretical basis for describing the dynamic evolution of a flat, homogeneous, and isotropic universe, generating diverse forms of matter contained in it. The approach proposed, which involves the use of probabilistic non-extensive aspects of the cosmological horizon, meets the well-known basic requirements for thermodynamic modeling of the dynamic behavior of outer space without involving the concept of hypothetical dark energy.
ISSN:1063-7729
1562-6881
DOI:10.1134/S1063772922100080