INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.22, sa.12, 2025 (SCI-Expanded)
In this paper, we investigate the freezing quintessence scenario in late-time cosmic expansion using a nonlinear f(R,L-m) gravity model, f(R,L-m) = R/2 +L-m(alpha), where alpha 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 Lambda CDM model in late times, displaying freezing behavior in the omega - omega ' plane and stability against density perturbations. Our findings suggest that the modified f(R,L-m) gravity model is a credible approach to describing the universe's accelerating phase.