Bouncing behavior in f(R, Lm) gravity: Phantom crossing and energy conditions
Koussour M. Myrzakulov N. Rayimbaev J. Alfedeel A.H.A. Elkhair H.M.
30 September 2024World Scientific
International Journal of Geometric Methods in Modern Physics
2024#21Issue 11
In this paper, we investigate the bouncing behavior of the universe within the framework of f(R, Lm) gravity, using a simple form of f(R, Lm) = R 2 +Lγ m (where γ is a free model parameter) as previously studied. The model predicts a vanishing Hubble parameter in the early and late times, with the deceleration parameter approaching a specific limit at the bouncing point. The EoS parameter is observed to cross the phantom divide line (ω = -1) near the bouncing point, indicating a significant transition from a contracting to an expanding phase. The model satisfies the necessary energy conditions for a successful bouncing scenario, with violations indicating exotic matter near the bouncing point. Stability conditions are satisfied for certain values of γ near the bouncing point, but potential instabilities in late-time evolution require further investigation. Finally, we conclude that the f(R, Lm) gravity model is promising for understanding the universes dynamics, especially during events like the bouncing phase.
bouncing cosmology , energy conditions , EoS parameter , f(R, Lm) gravity , stability analysis
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Department of Physics, University of Hassan II Casablanca, Morocco
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
New Uzbekistan University, Mustaqillik Ave. 54, Tashkent, 100007, Uzbekistan
University of Tashkent for Applied Sciences, Gavhar Str. 1, Tashkent, 100149, Uzbekistan
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh, 13318, Saudi Arabia
Department of Physics, Faculty of Science, University of Khartoum, P.O. Box 321, Khartoum, 11115, Sudan
Centre for Space Research, North-West University, Potchefstroom, 2520, South Africa
Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University, P.O. Box 5701, Riyadh, 11432, Saudi Arabia
Department of Physics
L. N. Gumilyov Eurasian National University
New Uzbekistan University
University of Tashkent for Applied Sciences
National University of Uzbekistan
Department of Mathematics and Statistics
Department of Physics
Centre for Space Research
Deanship of Scientific Research
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