Quintessence Universe and cosmic acceleration in f (Q, T) gravity


Koussour M. Myrzakulov N. Shekh S.H. Bennai M.
1 December 2022World Scientific

International Journal of Modern Physics D
2022#31Issue 16

The problem of cosmic acceleration and dark energy is one of the mysteries presently posed in the scientific society that general relativity has not been able to solve. In this work, we have considered alternative models to explain this late-time acceleration in a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe within the framework of the f (Q,T) modified gravity theory (where Q is the nonmetricity and T is the trace of the energy-momentum tensor) recently proposed by Y. Xu et al. [Eur. Phys. J. C 79 (2019) 708], which is an extension of f (Q) gravity with the addition of the T term. Here, we presume a specific form of f (Q,T) = αQ + βQ2 + γT where α, β and γ are free model parameters, and obtained the exact solutions by assuming the cosmic time-redshift relation as t(z) = nt0 m g(z) which produces the Hubble parameter of the form H(z) = mH0 m+n[ 1 g(z) + 1], where m and n are the nonnegative constants, we find the best values for them using 57 data points of the Hubble parameter H(z). Also, we find the behavior of different cosmological parameters as the deceleration parameter (q), energy density (ρ), pressure (p) and equation of state (EoS) parameter (ω) and compare them with the observational results. To ensure the validity of the results, we studied the energy conditions along with jerk parameter. Finally, we found that our model behaves similarly to the quintessence Universe.

dark energy , f (Q,T) gravity , FLRW Universe

Text of the article Перейти на текст статьи

Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben mSik, Casablanca Hassan II University, Morocco
L. N. Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Department of Mathematics. S. P. M. Science and Gilani Arts Commerce College, Ghatanji Dist. Maharashtra, Yavatmal, 445301, India
Lab of High Energy Physics, Modeling and Simulations, Faculty of Science, University Mohammed V-Agdal, Rabat, Morocco

Quantum Physics and Magnetism Team
L. N. Gumilyov Eurasian National University
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Mathematics. S. P. M. Science and Gilani Arts Commerce College
Lab of High Energy Physics

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026