论文标题

f(r,t)重力的慢速通胀和改良的starobinsky样膨胀模型

Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model

论文作者

Gamonal, Mauricio

论文摘要

在这项工作中,我们研究了在$ f(r,t)$重力范围内宇宙通胀的缓慢近似,其中$ r $是标量曲率,$ t $是能量量张量的痕迹。通过选择物质与重力之间的最小耦合,我们获得了修改后的慢速参数,标量光谱索引($ n_s $),张量光谱索引($ n _ {\ textrm {t}}} $)和张量 - 张量比($ r $)。我们计算了这些数量的一般力量势,天然和四分之一的山顶通胀以及Starobinsky模型,并在$(N_S,R)$平面上绘制了轨迹。我们发现,自然/山顶模型的参数之一是非修改的。此外,如果耦合在间隔$ -0.5 <α<5.54 $中,我们得出的结论是,类似Starobinsky的模型预测与上一个Planck测量非常吻合,但具有允许$ R $和$ r $和$ n _ _ _ _ {\ textrm的$ r $和$ n _ {\ textrm的可接受值范围的优势。

In this work, we studied the slow-roll approximation of cosmic inflation within the context of $f(R,T)$ gravity, where $R$ is the scalar curvature, and $T$ is the trace of the energy-momentum tensor. By choosing a minimal coupling between matter and gravity, we obtained the modified slow-roll parameters, the scalar spectral index ($n_s$), the tensor spectral index ($n_{\textrm{T}}$), and the tensor-to-scalar ratio ($r$). We computed these quantities for a general power-law potential, Natural & Quartic Hilltop inflation, and the Starobinsky model, plotting the trajectories on the $(n_s,r)$ plane. We found that one of the parameters of Natural/Hilltop models is non-trivially modified. Besides, if the coupling is in the interval $-0.5 < α< 5.54$, we concluded that the Starobinsky-like model predictions are in good agreement with the last Planck measurement, but with the advantage of allowing a wide range of admissible values for $r$ and $n_{\textrm{T}}$.

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