2019
DOI: 10.1007/s10714-019-2587-1
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Quantum formation of primordial black holes

Abstract: We provide a (simplified) quantum description of primordial black holes at the time of their formation. Specifically, we employ the horizon quantum mechanics to compute the probability of black hole formation starting from a simple quantum mechanical characterization of primordial density fluctuations given by a Planckian spectrum. We then estimate the initial number of primordial black holes in the early universe as a function of their typical mass, spatial width and temperature of the fluctuation.

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Cited by 9 publications
(6 citation statements)
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“…These objects would be completely dark for any astrophysical purpose, yet they would have no horizon. They could have been produced by direct collapse of primordial perturbations during the inflationary era and subsequently merged to produce primordial black holes [95][96][97][98]. It would thus be interesting to study the phenomenological consequences of our findings.…”
Section: Discussionmentioning
confidence: 98%
“…These objects would be completely dark for any astrophysical purpose, yet they would have no horizon. They could have been produced by direct collapse of primordial perturbations during the inflationary era and subsequently merged to produce primordial black holes [95][96][97][98]. It would thus be interesting to study the phenomenological consequences of our findings.…”
Section: Discussionmentioning
confidence: 98%
“…This is just so in the case under study when a value of M is small [36], [37]. In the general case of L ≫ GM, for the event horizon radius of a black hole having the metric (30), r H takes the following form (formula (9) in [38]):…”
Section: Pmm and Primordial Black Holes With The Schwarzschild-de Sit...mentioning
confidence: 94%
“…This is just so in the case under study when a value of M is small [12,13]. In the general case of L ≫ GM, for the event horizon radius of a black hole having the metric (3), r H takes the following form (formula (9) in [14]):…”
Section: Pbh With the Schwarzschild-de Sitter Metric In The Early Uni...mentioning
confidence: 94%