Modified cosmology through Kaniadakis entropy

TL;DR

This paper investigates a cosmological model based on Kaniadakis entropy, showing it can explain accelerated expansion without dark energy and affects the Universe's age and transition redshift.

Contribution

It introduces a modified cosmological model using Kaniadakis entropy, demonstrating its ability to reproduce acceleration and alter key cosmological parameters.

Findings

Reproduces accelerated expansion without dark energy

Predicts an older Universe compared to standard cosmology

Shows transition to acceleration at higher redshifts

Abstract

We explore a cosmological model inspired by the modified Kaniadakis entropy and disclose the influences of the modified Friedmann equations on the evolution of the Universe. We find that in modified Kaniadakis cosmology with only pressure-less matter, one can reproduce the accelerated Universe without invoking any kind of dark energy. We delved into the evolution of the Universe during the radiation-dominated era as well. We also investigate the behavior of the scale factor and the deceleration parameter for a multiple-component Universe consisting of pressure-less matter and a cosmological constant/dark energy. Interestingly enough, the predicted age of the Universe in the modified Kaniadakis cosmology becomes larger compared to the standard cosmology which may alleviate the age problem. Furthermore, The findings reveal that in the modified Kaniadakis cosmology, the transition from a decelerated phase to an accelerated Universe occurs at higher redshifts compared to the standard cosmology. These results shed light on the potential implications of incorporating Kaniadakis entropy into cosmological models and provide valuable insights into the behavior of the Universe in different cosmological scenarios. Moreover, they emphasize the crucial role of modifications to the geometry component and the significance of such modifications in understanding the dynamics of the Universe.