Constraints on Tsallis cosmology using recent low and high redshift measurements

M. L. Mendoza-Martínez; A. Cervantes-Contreras; J. J. Trejo-Alonso; A. Hernandez-Almada

doi:10.1140/epjc/s10052-024-13099-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 717
https://doi.org/10.1140/epjc/s10052-024-13099-5

Regular Article - Theoretical Physics

Constraints on Tsallis cosmology using recent low and high redshift measurements

M. L. Mendoza-Martínez¹, A. Cervantes-Contreras², J. J. Trejo-Alonso² and A. Hernandez-Almada²^d

¹ Tecnologico de Monterrey, Escuela de Ingeniería y Ciencias, Epigmenio González 500, San Pablo, 76130, Santiago de Querétaro Qro, Mexico
² Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, 76010, Santiago de Querétaro, Mexico

^d ahalmada@uaq.mx

Received: 1 May 2024
Accepted: 1 July 2024
Published online: 22 July 2024

Abstract

Recently Tsallis cosmology has been presented as a novel proposal for alleviating both $H_{0}$ $$H_0$$ and $σ_{8}$ $\sigma _8$ tensions. Hence a universe filled with matter and radiation as perfect fluids and considering the Tsallis entropy is confronted using recent cosmological measurements coming from cosmic chronometers, type Ia supernovae, hydrogen II galaxies, quasars, and baryon acoustic oscillations. Following a Bayesian Markov Chain Monte Carlo analysis and combining the samples, we constrain the main characteristic parameters $α = 1 . 031_{- 0.051}^{+ 0.054}$ $\alpha = 1.031^{+0.054}_{-0.051}$ and $δ = 1 . 005_{- 0.001}^{+ 0.001}$ $\delta = 1.005^{+0.001}_{-0.001}$ where the uncertainties are $1 σ$ $1\sigma$ confidence level. Additionally, we estimate the current deceleration parameter $q_{0} = - 0 . 530_{- 0.017}^{+ 0.018}$ $q_0=-0.530^{+0.018}_{-0.017}$ , the deceleration-acceleration transition redshift $z_{T} = 0 . 632_{- 0.028}^{+ 0.028}$ $z_T=0.632^{+0.028}_{-0.028}$ and the age of the universe $τ_{U} = 12 . 637_{- 0.066}^{+ 0.067} Gyrs$ $\tau _U = 12.637^{+0.067}_{-0.066}\,\textrm{Gyrs}$ which are in agreement with the standard cosmology ( $Λ$ $\Lambda$ CDM) within $1.5 σ$ $1.5\sigma$ . Furthermore, we find that the dark energy equation of state is consistent with both phantom and quintessence behaviors within $1 σ$ $1\sigma$ in the past and converging to $Λ$ $\Lambda$ CDM in the future. Additionally, we find agreement values of $H_{0}$ $$H_0$$ within $1 σ$ $1\sigma$ with the SH0ES values when the CMB distance priors are added to the analysis, suggesting that $H_{0}$ $$H_0$$ tension could be alleviated. Finally, Tsallis cosmology is preferred over $Λ$ $\Lambda$ CDM by the combined data that motives further studies at the perturbation level.

© 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.

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Constraints on Tsallis cosmology using recent low and high redshift measurements

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