论文标题
通过频谱指数限制$ f（r）$型号，并加热温度
Constraining $f(R)$ model through spectral indices and reheating temperature
论文作者
论文摘要
我们研究了$ f（r）= {r^{1+δ}}}/{r_c^δ} $的形式，并研究了约旦和爱因斯坦帧的通货膨胀模型的可行性。通过使用通货膨胀和加热温度的功率谱指数进一步分析该模型。在通货膨胀演化期间，该模型预测$δ$参数的值非常接近一个（$δ= 0.98 $），而加热温度$ t_ {re} \ sim 10^{17} $ gev at $δ= 0.98 $与标准的膨胀和膨胀方法和观测值一致。我们计算模型框架内的最小耦合标量字段的慢速参数。发现标量光谱索引和张量表的值非常接近最近的观察数据，包括Planck 2018发布的数据。我们还表明，当使用标量频谱指数，Tenors-scalararararararararararararararararar ratio和Reheating温度下，Jordan和Einstein框架在$Δ\ sim 1 $时相当于SIM 1 $。
We investigate a form of $ f(R) = {R^{1+δ}}/{R_c^δ}$ and study the viability of the model for inflation in the Jordan and the Einstein frames. This model is further analysed by using the power spectrum indices of the inflation and the reheating temperature. During the inflationary evolution, the model predicts a value of $δ$ parameter very close to one ($δ=0.98$), while the reheating temperature $T_{re} \sim 10^{17}$ GeV at $δ=0.98$ is consistent with the standard approach to inflation and observations. We calculate the slow roll parameters for the minimally coupled scalar field within the framework of our model. It is found that the values of the scalar spectral index and tensor-to-scalar ratio are very close to the recent observational data, including those released by Planck 2018. We also show that the Jordan and the Einstein frames are equivalent when $δ\sim 1 $ by using the scalar spectral index, tensor-to-scalar ratio and reheating temperature.
