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Primordial black holes and second order gravitational waves from ultra-slow-roll inflation

Jul 29, 2017

11 pages

Published in:

JCAP 07 (2018) 007

Published: Jul 2, 2018

e-Print:

1707.09578 [astro-ph.CO]

DOI:

10.1088/1475-7516/2018/07/007

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Abstract: (IOP)

The next generation of space-borne gravitational wave detectors may detect gravitational waves from extreme mass-ratio inspirals with primordial black holes. To produce primordial black holes which contribute a non-negligible abundance of dark matter and are consistent with the observations, a large enhancement in the primordial curvature power spectrum is needed. For a single field slow-roll inflation, the enhancement requires a very flat potential for the inflaton, and this will increase the number of e-folds. To avoid the problem, an ultra-slow-roll inflation at the near inflection point is required. We elaborate the conditions to successfully produce primordial black hole dark matter from single field inflation and propose a toy model with polynomial potential to realize the big enhancement of the curvature power spectrum at small scales while maintaining the consistency with the observations at large scales. The power spectrum for the second order gravitational waves generated by the large density perturbations at small scales is consistent with the current pulsar timing array observations.

Note:

add the discussion of second order gravitational waves, accepted for publication in JCAP

primordial black holes
gravitational waves / theory
black hole: primordial
inflation: slow-roll approximation
curvature: primordial
enhancement
cosmic background radiation: power spectrum
dark matter

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