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On the slope of curvature power spectrum in non-attractor inflation · Around

2019

On the slope of curvature power spectrum in non-attractor inflation

Özsoy, Ogan, Tasinato, Gianmassimo

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The possibility that primordial black holes constitute a fraction of dark matter motivates a detailed study of possible mechanisms for their production.

Black holes can form by the collapse of primordial curvature fluctuations, if the amplitude of their small scale spectrum gets amplified by several orders of magnitude with respect to CMB scales.
Such enhancement can for example occur in single-field inflation that exhibit a transient non-attractor phase: in this work, we make a detailed investigation of the shape of the curvature spectrum in this scenario.
We make use of an analytical approach based on a gradient expansion of curvature perturbations, which allows us to follow the changes in slope of the spectrum during its way from large to small scales.

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