The formation probability of primordial black holes
Matteo Biagetti, Valerio De Luca, Gabriele Franciolini, Alex Kehagias, Antonio Riotto
Abstract
We calculate the formation probability of primordial black holes generated during the collapse at horizon re-entry of large fluctuations produced during inflation, such as those ascribed to a period of ultra-slow-roll. We show that it interpolates between a Gaussian at small values of the average density contrast and a Cauchy probability distribution at large values. The corresponding abundance of primordial black holes may be larger than the Gaussian one by several orders of magnitude. The mass function is also shifted towards larger masses.
Topics & Concepts
Primordial black holeInflation (cosmology)PhysicsProbability density functionAstrophysicsGaussianDensity contrastHorizonProbability distributionCauchy distributionStatistical physicsAstronomyStatisticsMathematicsBinary black holeQuantum mechanicsGravitational waveCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsGalaxies: Formation, Evolution, Phenomena