Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold - INSPIRE

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Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold

Alex Kehagias
(
- Natl. Tech. U., Athens
)
,
Ilia Musco
(
- ICC, Barcelona U.
)
,
Antonio Riotto
(
- Geneva U., CAP and
- CERN
)

Jun 17, 2019

28 pages

Published in:

JCAP 12 (2019) 029

Published: Dec 10, 2019

e-Print:

1906.07135 [astro-ph.CO]

DOI:

10.1088/1475-7516/2019/12/029

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Abstract: (IOP)

Primordial black holes could have been formed in the early universe from sufficiently large cosmological perturbations re-entering the horizon when the Universe is still radiation dominated. These originate from the spectrum of curvature perturbations generated during inflation at small-scales. Because of the non-linear relation between the curvature perturbation

ζ

and the overdensity

δρ

, the formation of the primordial black holes is affected by intrinsic non-Gaussianity even if the curvature perturbation is Gaussian. We investigate the impact of this non-Gaussianity on the critical threshold

δ_c

which measures the excess of mass of the perturbation, finding a relative change with respect to the value obtained using a linear relation between

ζ

and

δρ

, of a few percent suggesting that the value of the critical threshold is rather robust against non-linearities. The same holds also when local primordial non-Gaussianity, with

f_{NL}{_{\sim}^{>}} −3/2

, are added to the curvature perturbation.

Note:

24 pages, 6 figures. This last updated version contains minor fine-tunings according to the published one

curvature: perturbation
black hole: primordial
non-Gaussianity
formation
mass: perturbation
black hole: formation
inflation
effect: nonlinear
horizon

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