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北美退伍军人节(Veterans Day),12 日无更新
arXiv 2006.04336gr-qcastro-ph.COhep-th
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$f(R,T)$引力中的暴胀

Inflation in $f(R,T)$ Gravity

Snehasish Bhattacharjee, J. R. L. Santos, P. H. R. S. Moraes, P. K. Sahoo

摘要:

本文首次在引力的$f(R,T)$理论中对暴胀情景进行了建模。我们假设来自的$f(R,T)$泛函为$R + ηT$,其中$R$表示Ricci标量,$T$表示能量-动量张量的迹,$η$表示模型参数(常数)。我们首先研究了一个通货膨胀的情况下,通货膨胀是纯粹由于几何效应以外的GR。我们发现,通货膨胀的可观性是独立的,在这个设置中的e-折叠的数量。光谱指数的计算值与最新的普朗克2018数据集一致,而标量与张量的比值略高。然后,我们继续分析由$f(R,T)$引力与实标量场耦合驱动的暴胀的行为。通过采取慢滚近似,我们产生了有趣的情况下,克莱因戈登潜力导致观测一致的通货膨胀观测。我们的结果清楚地表明,除了Ricci标量场和标量场外,能量动量张量的迹也在暴胀中起着重要的作用。

英文摘要:

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.

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