https://doi.org/10.1140/epjc/s10052-022-10415-9
Regular Article - Theoretical Physics
Kaniadakis holographic dark energy and cosmology
1
Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece
2
Department of Physics, University of Patras, 26500, Patras, Greece
3
National Observatory of Athens, Lofos Nymfon, 11852, Athens, Greece
4
CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, 230026, Hefei, Anhui, People’s Republic of China
5
Eurasian National University, 010008, Nur-Sultan Astana, Kazakhstan
6
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, 010009, Nur-Sultan, Kazakhstan
Received:
15
December
2021
Accepted:
9
May
2022
Published online:
16
May
2022
We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory and is characterized by a single parameter K which quantifies the deviations from standard expressions, and we use the future event horizon as the Infrared cutoff. We extract the differential equation that determines the evolution of the effective dark energy density parameter, and we provide analytical expressions for the corresponding equation-of-state and deceleration parameters. We show that the universe exhibits the standard thermal history, with the sequence of matter and dark-energy eras, while the transition to acceleration takes place at 
. Concerning the dark-energy equation-of-state parameter we show that it can have a rich behavior, being quintessence-like, phantom-like, or experience the phantom-divide crossing in the past or in the future. Finally, in the far future dark energy dominates completely, and the asymptotic value of its equation of state depends on the values of the two model parameters.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
