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.
Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$
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abstract
In the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that $0<f'(\phi)\leq c \exp(\frac{\sqrt{8}}{\sqrt{10}}\phi)$, then there are solutions that are eternal. Similar conclusions are found when a cosmological constant turned on. These conclusions are not generalized for the case when the spatial curvature is present, but we are able to find some general results about the possible nature of the singularities. The presented results correct some dubious arguments in [54], although the same conclusions are reached. On the other hand, these past results are considerably generalized to a wide class of situations which were not considered in [54].
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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.