论文标题
$ f(r,t)$重力的通货膨胀
Inflation in $f(R,T)$ Gravity
论文作者
论文摘要
本文在$ f(r,t)$重力理论中首次介绍了通货膨胀情景的建模。我们假设$ f(r,t)$从$ r +ηt$中函数,其中$ r $表示ricci标量,$ t $ the Energy-momentum Tensor的跟踪和$η$ the Model parameter(常数)。我们首先研究了一种通货膨胀情况,在该方案中,通货膨胀纯粹是由于GR以外的几何影响而驱动的。我们发现通货膨胀可观察到与此设置中的电子折叠数量无关。光谱索引的计算值与最新的Planck 2018数据集一致,而标量与张量比较高。然后,我们继续分析由$ f(r,t)$重力驱动的通货膨胀的行为,加上真实的标量场。通过采取缓慢的近似,我们生成了有趣的场景,其中klein gordon的电势会导致观察一致的通货膨胀可观察到。我们的结果清楚地表明,除了RICCI标量和标量场外,能量动量张量的痕迹在推动通货膨胀方案中也起着重要作用。
The article presents modeling of inflationary scenarios for the first time in the $f(R,T)$ theory of gravity. We assume the $f(R,T)$ functional from to be $R + ηT$, where $R$ denotes the Ricci scalar, $T$ the trace of the energy-momentum tensor and $η$ the model parameter (constant). We first investigated an inflationary scenario where the inflation is driven purely due to geometric effects outside of GR. We found the inflation observables to be independent of the number of e-foldings in this setup. The computed value of the spectral index is consistent with latest Planck 2018 dataset while the scalar to tensor ratio is a bit higher. We then proceeded to analyze the behavior of an inflation driven by $f(R,T)$ gravity coupled with a real scalar field. By taking the slow-roll approximation, we generated interesting scenarios where a Klein Gordon potential leads to observationally consistent inflation observables. Our results makes it clear-cut that in addition to the Ricci scalar and scalar fields, the trace of energy momentum tensor also play a major role in driving inflationary scenarios.