In this paper, we investigate the freezing quintessence scenario in late-time cosmic expansion using a non-linear f(R,Lm) gravity model, f(R,Lm)=2R+Lmα, where α is a free parameter. We consider a solution for this model using an appropriate parametrization of the scale factor, and then the model is constrained by observational datasets, including CC, Pantheon+ (SN), and CC+SN+BAO. Our analysis yields results aligning closely with observational data. The Hubble parameter, deceleration parameter, matter-energy density, and EoS parameter of our model exhibit expected trends over cosmic time, supporting its physical validity. Furthermore, the model demonstrates consistency with the ΛCDM model in late times, displaying freezing behavior in the ω−ω′ plane and stability against density perturbations. Our findings suggest that the modified f(R,Lm) gravity model is a credible approach to describing the universe's accelerating phase.
@article{arxiv.2412.10518,
title = {Observational constraints on freezing quintessence in a non-linear $f(R, L_m)$ gravity},
author = {Yerlan Myrzakulov and M. Koussour and A. Caliskan and E. Güdekli and S. Muminov and J. Rayimbaev},
journal= {arXiv preprint arXiv:2412.10518},
year = {2024}
}