Abstract
We study ‘hilltop’ inflation, in which inflation takes place near a maximum of the potential.Viewed as a model of inflation after the observable Universe leaves the horizon(observable inflation), hilltop inflation is rather generic. If the potential steepensmonotonically, observable hilltop inflation gives a tiny tensor fraction . The usual F- and D-term models may easily be transmuted to hilltop models byPlanck-suppressed terms, making them more natural. The only commonly consideredmodel of observable inflation which is definitely not hilltop is tree-level hybrid inflation.Viewed instead as an initial condition, we explain that hilltop inflation is more genericthan seems to have been previously recognized, adding thereby to the credibilityof the idea that eternal inflation provides the pre-inflationary initial condition.
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