论文标题

$ f \ left(r,t,r_ {ab} t^{ab} \ right)$ f \ left中的慢速通胀

Slow-roll inflation in $f\left(R, T, R_{ab}T^{ab}\right)$ gravity

论文作者

Feng, Zhe

论文摘要

在$ f \ left(r,t,r_ {ab} t^{ab} \ right)$重力理论的框架中,研究了宇宙通胀的缓慢倾斜近似,其中$ t $是能量量tensor $ t^{ab t^{ab} $,$ r $和$ r $和$ r $ and $ r_ and $ r_ and ab and cor的痕迹,从空间平坦的FLRW度量中从作用原理中获得重力场运动的方程式后,通过将通胀标量字段作为物质引入膨胀标量场并仅考虑最小曲率通流耦合项来接收该理论的基本方程。值得注意的是,在采取缓慢倾斜的近似之后,得出了与$ f(r,t)$重力中的同一方程式,并得出了$ rt $搅拌项。单独评估不同域中的几个潜在潜力,从而计算慢速参数和电子折叠数字$ n $。最后,我们在扰动下分析了通货膨胀标量场的行为,同时忽略了度量扰动的效果。这项研究补充了修改后的重力理论中的缓慢通胀。

In the framework of $f\left(R, T, R_{ab}T^{ab}\right)$ gravity theory, the slow-roll approximation of the cosmic inflation is investigated, where $T$ is the trace of the energy-momentum tensor $T^{ab}$, $R$ and $R_{ab}$ are the Ricci scalar and tensor, respectively. After obtaining the equations of motion of the gravitational field from the action principle in the spatially flat FLRW metric, the fundamental equations of this theory are received by introducing the inflation scalar field as the matter and taking into account only the minimum curvature-inflation coupling term. Remarkably, after taking the slow-roll approximation, the identical equations as in $f(R, T)$ gravity with a $RT$ mixing term are derived. Several potentials of interest in different domains are evaluated individually, calculating the slow-roll parameter and the e-folding number $N$. Finally, we analyze the behavior of the inflation scalar field under perturbation while ignoring the effect of metric perturbations. This research complements the slow-roll inflation in the modified theory of gravity.

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