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2013

A polynomial f(R) inflation model

Huang, Qing-Guo

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Motivated by the ultraviolet complete theory of quantum gravity, for example the string theory, we investigate a polynomial $f(R )$ inflation model in detail.

We calculate the spectral index and tensor-to-scalar ratio in the $f(R )$ inflation model with the form of $f(R )=R+{R^2\over 6M^2}+{\lambda_n\over 2n}{R^n\over (3M^2)^{n-1}}$.
Compared to Planck 2013, we find that $R^n$ term should be exponentially suppressed, i.e.
$|\lambda_n|\lesssim 10^{-2n+2.6}$.

A polynomial f(R) inflation model · Around

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