arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2111.03314gr-qchep-th
收藏

$f(R,L_m)$引力中能量条件的约束

Constraints on Energy Conditions in $f(R,L_m)$ Gravity

Lakhan V. Jaybhaye, Sanjay Mandal, P. K. Sahoo

摘要:

在这篇手稿中,我们考虑了希尔伯特-爱因斯坦作用量的扩展,以分析该理论的几个有趣的特征。更具体地,拉格朗日函数$f(R)$在作用中被$f(R, L_m)$取代,其中$R$是里奇标量,而$L_m$是物质拉格朗日函数。我们推导了在平坦均匀的Friedmann-Lemattre-Robertson-Walker(FLRW)时空中的测试粒子的运动方程。我们还推导出在这个框架中的能量条件。然后,我们使用宇宙学参数,如哈勃,减速,加加速度,捕捉参数约束模型参数。结果,我们观察到,与模型参数的约束范围,我们的模型显示了当前的加速膨胀的宇宙。

英文摘要:

In this manuscript, we consider the extension of the Hilbert-Einstein action to analyze several interesting features of the theory. More specifically, the Lagrangian $f(R)$ is replaced by $f(R, L_m)$ in action, where $R$ is the Ricci scalar, and $L_m$ is the matter Lagrangian. We derive the motion equations for a test particle in the Friedmann-Lemaître-Robertson-Walker (FLRW) flat and homogeneous spacetime. We also derive the energy conditions in this framework. Then, we use the cosmographic parameter such as Hubble, deceleration, jerk, and snap parameters to constraint the model parameters. As a result, we observe that with the constraint range of model parameters our model shows the current accelerated expansion 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。

↑