论文标题
物质波动的增长$ f（r，t）$重力
Growth of matter fluctuations in $f(R,T)$ Gravity
论文作者
论文摘要
在这项工作中，我首次提出了有关物质波动在$ f（r，t）$修饰的重力中的分析，其中我认为$ f（r，t）= r +λt$，其中$ r $表示ricci scalar，$ t $ t $ t $ th $ the Energy-momentum tensor tensor and $λ$ $ pantess。我首先要解决弗里德曼方程，假设哈勃参数$ h（z）$的灰尘宇宙（$ω= 0 $），然后将其用于物质密度波动方程$δ（z）$以求解$Δ（z）$和增长率$ f（z）$。接下来，我继续显示$ f（z）$和$δ（z）$的行为，并以$λ$为$λ$的$ f（z）$带有观测约束。最后，按照\ cite {growft41}的处方，我为生长指数$γ$提供了一个分析表达式，该表达式是红移依赖性的，而表达式则减少到$ 3/5 $，对于$λ= 0 $，这是尘埃宇宙的增长指数。
In this work, I present for the first time the analysis concerning the growth of matter fluctuations in the framework of $f(R,T)$ modified gravity where I presume $f(R,T) = R + λT$, where $R$ denote the Ricci scalar, $T$ the trace of the energy-momentum tensor and $λ$ a constant. I first solve the Friedman equations assuming a dust universe ($ω=0$) for the Hubble parameter $H(z)$ and then employ it in the equation of matter density fluctuations $δ(z)$ to solve for $δ(z)$ and the growth rate $f(z)$. Next, I proceed to show the behavior of $f(z)$ and $δ(z)$ with redshift for some values of $λ$ with observational constraints. Finally, following the prescription of \cite{growft41}, I present an analytical expression for the growth index $γ$ which is redshift dependent and the expression reduces to $3/5$ for $λ=0$, which is the growth index for a dust universe.
