Bouncing behavior in \(f(R,L_m)\) gravity: Phantom crossing and energy conditions

In this work, we investigate the bouncing behavior of the universe within the framework of \(f(R,L_m)\) gravity, using a simple form of \(f(R,L_m)=\frac{R}{2}+L_m^\gamma\) (where \(\gamma\) is a free model parameter) as previously studied. The model predicts a vanishing Hubble parameter in the early...

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Bibliographic Details
Published in:arXiv.org 2024-03
Main Authors: Koussour, M, Myrzakulov, N, Rayimbaev, Javlon, Alnadhief H A Alfedeel, Elkhair, H M
Format: Article
Language:English
Subjects:
Bouncing
Deceleration
Mathematical models
Parameters
Universe
Online Access:Get full text
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Summary:In this work, we investigate the bouncing behavior of the universe within the framework of \(f(R,L_m)\) gravity, using a simple form of \(f(R,L_m)=\frac{R}{2}+L_m^\gamma\) (where \(\gamma\) 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 (\(\omega=-1\)) 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 \(\gamma\) near the bouncing point, but potential instabilities in late-time evolution require further investigation. Finally, we conclude that the \(f(R,L_m)\) gravity model is promising for understanding the universe's dynamics, especially during events like the bouncing phase.
ISSN:2331-8422
DOI:10.48550/arxiv.2403.15772