https://doi.org/10.1140/epjc/s10052-025-13858-y
Regular Article -Theoretical Physics
f(Q) gravitational theory and its structure via redshift
1
Centre for Theoretical Physics, The British University in EGypt, P.O. Box 43, 11837, El Sherouk City, Cairo, Egypt
2
Center for Space Research, North-West University, 2520, Potchefstroom, South Africa
Received:
9
November
2024
Accepted:
19
January
2025
Published online:
14
February
2025
We introduce a new technique for reformulating the f(Q) gravitational theory based on parameterization of the deceleration parameter or other options. This tool allows us to create modified gravitational scenarios connected to cosmological observations. We examine two models of the deceleration parameter and one model of the effective equation of the state of the universe as discussed in the literature. We utilize the asymptotic behavior of the matter density parameter to further constrain the feasible range of the model parameters. One of the tested models shows how a tiny modification can produce viable cosmic scenarios quantitatively similar to 
CDM but qualitatively different, whereas the dark energy (DE) sector becomes dynamic and fully explained by modified gravity, not by a cosmological constant.
© The Author(s) 2025
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.
