Primordial black holes under the double inflationary power spectrum
Abstract
Recently, it has been shown that the primordial black holes (PBHs) from the near critical collapse in the expanding universe have a scaling mass relation similar to that of black holes produced in the asymptotically flat spacetime. Distinct from the PBHs with mass about the horizon mass (Type I), the PBHs with the scaling relation (Type II) can be formed with a range of masses at a given time. In general, only the case in which the PBH formation is concentrated at only one epoch has been considered. However, it is expected that the PBH formation epoch is possible in a broad range of period if the density fluctuation has rather large amplitude and smooth scale dependence. So, we study the PBH formation for both types assuming the power spectrum of double inflationary models such that the small scale fluctuations could have large amplitudes independent of the CMBR anisotropy. The mass spectrum of Type II PBHs is newly constructed without limiting the PBH formation period. Under the double inflationary power spectrum, the accumulation of PBHs formed at later times is important and the mass range is significantly broadened. It seems difficult for the PBHs under the assumed power spectrum to generate the observed MACHO spectrum.Keywords
All Related Versions
This publication has 0 references indexed in Scilit: