The scenario of the accelerated expansion of the Universe under the influence of entropic forces associated with the entropies of Tsallis–Cirto and Barrow

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 Bekenstein–Hawking entropy and the non-extensive Tsallis–Cirto 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.