A stable and singularity-free oscillating universe in f(R,Lm) gravity
Myrzakulov Y. Alfedeel A.H.A. Koussour M. Hassan E.I. Muminov S. Rayimbaev J.
November 2025Springer
Indian Journal of Physics
2025#99Issue 124883 - 4891 pp.
In this study, we investigate the oscillatory behavior of the universe within the f(R,Lm) gravity framework. We propose a model defined by f(R,Lm)=R2+Lmα, where α is a free parameter, and introduce a phenomenological, time-periodic parametrization of the deceleration parameter to drive cyclic evolution. Our analysis reveals that the universe exhibits smooth and regular oscillations in key cosmological quantities, including the Hubble parameter, deceleration parameter, energy density, pressure, and equation of state (EoS) parameter. Notably, the EoS transitions periodically across the phantom divide, demonstrating a quintom-like dark energy behavior. The model remains physically acceptable, singularity-free, and dynamically stable throughout each cycle. Unlike traditional bouncing cosmologies, our framework achieves cyclic behavior without introducing exotic matter components or a separate bounce mechanism, relying instead on the curvature-matter coupling structure of f(R,Lm) gravity. Furthermore, the model satisfies key energy conditions within each cycle, reinforcing its physical viability. These results offer a compelling alternative to standard cosmological scenarios and complement recent efforts to describe non-singular cyclic evolution in modified gravity theories.
Energy conditions , f(R,Lm) gravity , Oscillating universe , Periodic varying deceleration parameter , Stability analysis
Text of the article Перейти на текст статьи
Department of General & Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 13318, Saudi Arabia
Department of Physics, University of Hassan II Casablanca, Casablanca, Morocco
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
New Uzbekistan University, Movarounnahr Street 1, Tashkent, 100007, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
Department of General & Theoretical Physics
Department of Mathematics and Statistics
Department of Physics
Mamun University
New Uzbekistan University
Urgench State University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026