Eternal Hilltop Inflation

Abstract

We consider eternal inflation in hilltop-type inflation models, favored by current data, in which the scalar field in inflation rolls off of a local maximum of the potential. Unlike chaotic or plateau-type inflation models, in hilltop inflation the region of field space which supports eternal inflation is finite, and the expansion rate $H_{EI}$ during eternal inflation is almost exactly the same as the expansion rate $H_{\ast }$ during slow roll inflation. Therefore, in any given Hubble volume, there is a finite and calculable expectation value for the lifetime of the "eternal" inflation phase, during which quantum flucutations dominate over classical field evolution. We show that despite this, inflation in hilltop models is nonetheless eternal in the sense that the volume of the spacetime at any finite time is exponentially dominated by regions which continue to inflate. This is true regardless of the energy scale of inflation, and eternal inflation is supported for inflation at arbitrarily low energy scale.

8 pages, LaTeX (v4: matches version to be published by JCAP)

References in corpus (12)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Reheating predictions in single field inflation
• Holographic probabilities in eternal inflation
• More hilltop inflation models
• Towards a gauge invariant volume-weighted probability measure for eternal inflation
• Hurdles for Recent Measures in Eternal Inflation
• Inflation over the hill
• Predictions in eternal inflation
• Inflation with an extra light scalar field after Planck
• Measures on transitions for cosmology from eternal inflation
• Negative running prevents eternal inflation

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