http://arxiv.org/abs/1807.00666
We study the $R^p$ inflationary model, as $p> 2$, as an extension of the model studied by Motohashi~\cite{Motohashi:2014tra}. After reproducing the observable quantities: the power spectral index $n_s$, its corresponding running $\alpha=\frac{dn_s}{d\ln(k)}$ and the tensor to scalar ration $r$ in terms of e-folding number $N$ and $p$, we show that $R^p$ inflation model is still alive as $p$ is from $2$ to $2.02$. In this range, our calculation confirms that $n_s$ and $r$ agree with observations and $\alpha$ is of order $10^{-4}$ which needs more precise observational constraints. We find that, as the value of $p$ increases, all $n_s$, $r$ and $|\alpha|$ decrease. However, the precise interdependence between these observables is such that this class of models can in principle be tested by the next generation of dedicated satellite CMB probes.
L. Liu
Tue, 3 Jul 18
35/95
Comments: 14 pages, 4 figures (To be Published in International Journal of Theoretical Physics)
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