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arXiv 2602.08562gr-qc
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宇宙在$f(R,L_m,T)$引力中的演化阶段:动态系统分析

Evolutionary Phase of Universe in $f(R,L_m,T)$ Gravity: The Dynamical System Analysis

Sardar Patel University(萨达尔·帕特尔大学);Birla Institute of Technology and Science-Pilani, Hyderabad Campus(比拉理工学院-皮拉尼校区,海得拉巴校区)

R. R. Panchal, Divya G. Sanjava, A. H. Hasmani, B. Mishra

AI总结:

本文通过动态系统分析研究了$f(R,L_m,T)$引力中宇宙的动力学行为,通过引入无量纲变量构建自主动态系统,分析了临界点的稳定性,并获得了宇宙学参数和动态参数。

摘要:

在本文中,对包含标量场的$f(R,L_m,T)$引力中宇宙的动力学行为进行了动态系统分析。一个合理的势函数和函数$f(R,L_m,T)$的线性形式被纳入弗里德曼方程,通过引入无量纲变量构建了自主动态系统。基于对应的特征值分析了临界点的稳定性行为。此外,利用无量纲变量获得了宇宙学参数如减速参数以及动态参数如状态方程和密度参数。观察到该系统提供了描述宇宙不同演化阶段的临界点。

英文摘要:

In this paper, the dynamical system analysis has been performed to analyze the dynamical behavior of the Universe in $f(R,L_m,T)$ gravity with a scalar field. A well motivated potential function and the linear form of the functional $f(R,L_m,T)$ have been incorporated into the Friedmann equation, and the autonomous dynamical system has been framed by introducing dimensionless variables. The stability behavior of the critical points is obtained and analyzed based on their corresponding eigenvalues. Moreover, cosmological parameters such as the deceleration parameter and the dynamical parameters such as equation of state and density parameters are obtained using the dimensionless variables. It has been observed that the system provides critical points that describe different evolutionary phases of the Universe.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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