Observational constraints on freezing quintessence in a nonlinear f(R,Lm) gravity.

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 α , 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 Λ CDM 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 , L m) gravity model is a credible approach to describing the universe's accelerating phase. [ABSTRACT FROM AUTHOR]