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


Myrzakulov Y. Koussour M. Çalíşkan A. Güdekli E. Muminov S. Rayimbaev J.
1 October 2025World Scientific

International Journal of Geometric Methods in Modern Physics
2025#22Issue 12

In this paper, we investigate the freezing quintessence scenario in late-time cosmic expansion using a nonlinear f(R, Lm) gravity model, (Formula presented), 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.

Freezing quintessence , late-time cosmic expansion , nonlinear f(R, Lm) gravity , observational constraints

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Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Physics, University of Hassan II Casablanca, Casablanca, Morocco
Department of Physics, Istanbul University, Istanbul, 34134, Turkey
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, Shahrisabz, 181301, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan

Department of General and Theoretical Physics
Department of Physics
Department of Physics
Mamun University
Institute of Fundamental and Applied Research
University of Tashkent for Applied Sciences
Urgench State University
Shahrisabz State Pedagogical Institute
Tashkent State Technical University

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