arXiv 2405.047972024-05-08gr-qchep-th

$f(R,L_m)$引力中的反弹宇宙学模型

Bouncing cosmological models in $f(R,L_m)$ gravity

Lakhan V. Jaybhaye, Raja Solanki, P. K. Sahoo

备注：: Physica Scripta published version
发表信息：: Physics Scripta 99 (2024) 065031
DOI：: 10.1088/1402-4896/ad4838

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AI总结：

该研究在$f(R,L_m)$引力框架下探究两种非线性函数形式的物质反弹非奇异宇宙学，推导类弗里德曼方程，分析参数影响与宇宙学参数动力学，验证能量条件破缺及反弹情形的合理性。

摘要：

本文探究$f(R,L_m)$引力中的物质反弹非奇异宇宙学。我们考虑两种非线性$f(R,L_m)$函数形式，具体为代表最小耦合情形的$f(R,L_m) = \frac{R}{2} + λR^2 + αL_m$与$f(R,L_m) = \frac{R}{2} + L_m ^β+ γ$。我们在FLRW背景下推导了两种假设模型对应的类弗里德曼方程，随后展示了模型参数与反弹标度因子参数对状态方程参数、压强和能量密度的影响。此外，我们检验了jerk（加加速度参数）、lerk（勒克参数）与snap（急动参数）等宇宙学参数的动力学行为。进一步地，我们发现零能量条件与强能量条件的破缺体现了非奇异加速行为，这与两种假设的非线性$f(R,L_m)$函数均相对应。最后，我们展示了绝热声速的行为，以检验所考虑的宇宙学反弹情形的合理性。

英文摘要：

This article explores matter bounce non-singular cosmology in $f(R,L_m)$ gravity. We consider two non-linear $f(R,L_m)$ functional forms, specifically, $f(R,L_m) = \frac{R}{2} + λR^2 + αL_m$ and $f(R,L_m) = \frac{R}{2} + L_m ^β+ γ$ representing a minimal coupling case. We derive the corresponding Friedmann-like equations for both the assumed models in the FLRW background, and then we present the impact of the model parameters along with the parameter of bouncing scale factor on the equation of state parameter, pressure, and the energy density. In addition, we examine the dynamical behavior of cosmographic parameters such as jerk, lerk, and snap parameters. Further, we find that the violation of the null energy condition along with the strong energy condition depicts the non-singular accelerating behavior, corresponding to both assumed non-linear $f(R,L_m)$ functions. Lastly, we present the behavior of the adiabatic speed of sound to examine the viability of the considered cosmological bouncing scenario.

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