M. Koussour, N. Myrzakulov, J. Rayimbaev, Alnadhief H. A. Alfedeel, H. M. Elkhair
{"title":"Bouncing behavior in f(R, Lm) gravity: Phantom crossing and energy conditions","authors":"M. Koussour, N. Myrzakulov, J. Rayimbaev, Alnadhief H. A. Alfedeel, H. M. Elkhair","doi":"10.1142/S0219887824501846","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Geometric Methods in Modern Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0219887824501846","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
在这项工作中,我们在$f(R,L_m)$引力的框架内研究了宇宙的反弹行为,使用的是以前研究过的$f(R,L_m)=\frac{R}{2}+L_m^\gamma$(其中$\gamma$是一个自由模型参数)的简单形式。该模型预测哈勃参数在早期和晚期都会消失,减速参数会在弹跳点接近一个特定的极限。在弹跳点附近观测到 EoS 参数越过幻分线($\omega=-1$),表明从收缩阶段向膨胀阶段的显著过渡。该模型满足成功反弹的必要能量条件,反弹点附近有异质物质。反弹点附近的$\gamma$的某些值满足稳定条件,但晚期演化的潜在不稳定性需要进一步研究。最后,我们得出结论:$f(R,L_m)$ 引力模型有望用于理解宇宙动力学,尤其是在反弹阶段这样的事件中。