Primordial black hole formation from an axionlike curvaton model

Abstract

We argue that the existence of the cold dark matter is explained by primordial black holes. We show that a significant number of primordial black holes can be formed in an axionlike curvaton model, in which the highly blue-tilted power spectrum of primordial curvature perturbations is achieved. It is found that the produced black holes with masses $\ensuremath{\sim}{10}^{20}--{10}^{38}\text{ }\text{ }\mathrm{g}$ account for the present cold dark matter. We also argue the possibility of forming the primordial black holes with mass $\ensuremath{\sim}{10}^{5}{M}_{\ensuremath{\bigodot}}$ as seeds of the supermassive black holes.