https://doi.org/10.1140/epjc/s10052-024-12573-4
Regular Article - Theoretical Physics
Alleviating both and tensions in Tsallis cosmology
1
National Observatory of Athens, Lofos Nymfon, 11852, Athens, Greece
2
Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efesiou 4, 11527, Athens, Greece
3
School of Sciences, European University Cyprus, Diogenes Street, Engomi, 1516, Nicosia, Cyprus
4
Department of Physics, University of Patras, 26500, Patras, Greece
5
Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece
6
Department of Astronomy, School of Physical Sciences, University of Science and Technology of China, 230026, Hefei, People’s Republic of China
7
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, 1280, Casilla, Antofagasta, Chile
Received:
3
October
2023
Accepted:
18
February
2024
Published online:
21
March
2024
We present how Tsallis cosmology can alleviate both and tensions simultaneously. Such a modified cosmological scenario is obtained by the application of the gravity-thermodynamics conjecture, but using the non-additive Tsallis entropy, instead of the standard Bekenstein–Hawking one. Hence, one obtains modified Friedmann equations, with extra terms that depend on the new Tsallis exponent that quantifies the departure from standard entropy. We show that for particular choices we can obtain a phantom effective dark energy, which is known to be one of the sufficient mechanisms that can alleviate tension. Additionally, for the same parameter choice we obtain an increased friction term and an effective Newton’s constant smaller than the usual one, and thus the tension is also solved. These features act as a significant advantage of Tsallis modified cosmology.
© The Author(s) 2024
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.