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• W3100379059 abstract "We show an analogy at high curvature between a $f(R) = R + aR^{n - 1} + bR^2$ theory and the $alpha$-Attractors. We calculate the expressions of the parameters $a$, $b$ and $n$ as functions of $alpha$ and the predictions of the model $f(R) = R + aR^{n - 1} + bR^2$ on the scalar spectral index $n_{rm s}$ and the tensor-to-scalar ratio $r$. We find that the power law correction $R^{n - 1}$ allows for a production of gravitational waves enhanced with respect to the one in the Starobinsky model, while maintaining a viable prediction on $n_{rm s}$. We numerically reconstruct the full $alpha$-Attractors class of models testing the goodness of our high-energy approximation $f(R) = R + aR^{n - 1} + bR^2$. Moreover, we also investigate the case of a single power law $f(R) = gamma R^{2 - delta}$ theory, with $gamma$ and $delta$ free parameters. We calculate analytically the predictions of this model on the scalar spectral index $n_{rm s}$ and the tensor-to-scalar ratio $r$ and the values of $delta$ which are allowed from the current observational results. We find that $-0.015 < delta < 0.016$, confirming once again the excellent agreement between the Starobinsky model and observation." @default.
• W3100379059 created "2020-11-23" @default.
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• W3100379059 date "2017-09-28" @default.
• W3100379059 modified "2023-10-16" @default.
• W3100379059 title "Reconstructing a<i>f</i>(<i>R</i>) theory from the α-Attractors" @default.
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• W3100379059 doi "https://doi.org/10.1088/1475-7516/2017/09/041" @default.
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