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تسجيل مستخدم جديدReconstructing $f(R)$ gravity from the spectral index
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تأليف
Takeshi Chiba
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Recent cosmological observations are in good agreement with the scalar spectral index $n_s$ with $n_s-1simeq -2/N$, where $N$ is the number of e-foldings. In the previous work, the reconstruction of the inflaton potential for a given $n_s$ was studied, and it was found that for $n_s-1=-2/N$, the potential takes the form of either $alpha$-attractor model or chaotic inflation model with $phi^2$ to the leading order in the slow-roll approximation. Here we consider the reconstruction of $f(R)$ gravity model for a given $n_s$ both in the Einstein frame and in the Jordan frame. We find that for $n_s-1=-2/N$ (or more general $n_s-1=-p/N$), $f(R)$ is given parametrically and is found to asymptote to $R^2$ for large $R$. This behavior is generic as long as the scalar potential is of slow-roll type.
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