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Abstract: Following on after two previous papers discussing the formation of primordialblack holes in the early universe, we present here results from an in-depthinvestigation of the extent to which primordial black hole formation in theradiative era can be considered as an example of the critical collapsephenomenon. We focus on initial supra-horizon-scale perturbations of a typewhich could have come from inflation, with only a growing component and nodecaying component. In order to study perturbations with amplitudes extremelyclose to the supposed critical limit, we have modified our previous computercode with the introduction of an adaptive mesh refinement scheme. This hasallowed us to follow black hole formation from perturbations whose amplitudesare up to eight orders of magnitude closer to the threshold than we could dobefore. We find that scaling-law behaviour continues down to the smallest blackhole masses that we are able to follow and we see no evidence of shockproduction such as has been reported in some previous studies and which ledthere to a breaking of the scaling-law behaviour at small black-hole masses. Weattribute this difference to the different initial conditions used. In additionto the scaling law, we also present other features of the results which arecharacteristic of critical collapse in this context.



Author: Ilia Musco, John C. Miller, Alexander G. Polnarev

Source: https://arxiv.org/



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