In Einstein-Gauss-Bonnet gravity, the Mutated Hilltop inflation model can satisfy Planck'18 bounds on the spectral index and tensor-to-scalar ratio when the Gauss-Bonnet coupling parameters are tuned, with the new slow-roll approximation matching the numerical results.
GW170817-compatible Constant-roll Einstein-Gauss-Bonnet Inflation and Non-Gaussianities
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abstract
In this paper we investigate the inflationary phenomenology of an Einstein-Gauss-Bonnet theory compatible with the GW170817 event, by imposing the constant-roll evolution on the scalar field. We develop the constant-roll GW170817-compatible Einstein-Gauss-Bonnet formalism, and we calculate the slow-roll indices and the observational indices of inflation, for several models of interest. As we demonstrate, the phenomenological viability of the models we study is achieved for a wide range of the free parameters. In addition, for the same values of the free parameters that guarantee the inflationary phenomenological viability of the models, we also make predictions for the non-Gaussianities of the models, since the constant-roll evolution is known to enhance non-Gaussianities. As we show the non-Gaussianities are of the same order for the slow-roll and constant-roll case, and in fact in some cases, the amount of the non-Gaussianities is smaller in the constant-roll case.
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Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
In Einstein-Gauss-Bonnet gravity, the Mutated Hilltop inflation model can satisfy Planck'18 bounds on the spectral index and tensor-to-scalar ratio when the Gauss-Bonnet coupling parameters are tuned, with the new slow-roll approximation matching the numerical results.