Probing dark energy and cosmic acceleration with f(Q,T) gravity theories


Koussour M. Myrzakulov N. Muminov S. Ibragimov I. Rayimbaev J. Dauletov A.
19 April 2025World Scientific

International Journal of Geometric Methods in Modern Physics
2025#23Issue 2

In this paper, we investigate alternative models within the framework of f(Q,T) gravity theory to understand the acceleration of the universe, a longstanding mystery in cosmology. f(Q,T) gravity extends f(Q) gravity by including a geometry–matter coupling term T, where Q represents the non-metricity scalar and T is the trace of the energy–momentum tensor. We focus on two specific cases of the model: f(Q,T) = αQ + βT for n = 0, and f(Q,T) = αQn+1 + βT for n≠0, where α, β, and n are free parameters. By using a combination of observational datasets, including the Hubble, SNe Ia, and BAO datasets, we determine the best-fit values for the model parameters. We analyze various cosmological parameters, including the deceleration parameter and the equation of state (EoS) parameter. The deceleration parameter reveals a transition from deceleration to acceleration phases in the universe’s evolution. The EoS parameter analysis suggests that our f(Q,T) cosmological models exhibit characteristics similar to a quintessence model, describing dark energy. Lastly, we validate the results by analyzing the energy conditions for both models, contributing to the understanding of the acceleration of the universe and the viability of f(Q,T) gravity as an alternative theory.

Acceleration of the universe , f(Q,T) gravity , geometry–matter coupling , non-metricity scalar , observational data

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Department of Physics, University of Hassan II, Casablanca, Morocco
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
Kimyo International University, Shota Rustaveli Street 156, Tashkent, 100121, Uzbekistan
New Uzbekistan University, Urgench State University, Movarounnahr Street 1, Kh. Alimjan Str. 14, Urgench, Tashkent, 221100, Uzbekistan
Department of Digital Technologies, Alfraganus University, Yukori Karakamish Street 2a, Tashkent, 100190, Uzbekistan

Department of Physics
L. N. Gumilyov Eurasian National University
Mamun University
Kimyo International University
New Uzbekistan University
Department of Digital Technologies

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