On the Density of Primordial Black Holes in the Galactic Halo

Abstract

Calculations of the rate of local Primordial Black Hole explosions often assume that the PBH's can be highly concentrated into galaxies, thereby weakening the Page-Hawking limit on the cosmological density of PBH's. But if the PBH's are concentrated by a factor exceeding $c/(H_\circ R_\circ) \approx 4 \times 10^5$, where $R_\circ = 8.5$ kpc is the scale of the Milky Way, then the steady emission from the PBH's in the halo will produce an anisotropic high latitude diffuse gamma ray intensity larger than the observed anisotropy. This provides a limit on the rate-density of evaporating PBH's of $\lesssim 0.4$~pc$^{-3}$yr$^{-1}$ which is more than 6 orders of magnitude lower than recent experimental limits. However, the weak observed anisotropic high latitude diffuse gamma ray intensity is consistent with the idea that the dark matter that closes the Universe is Planck mass remnants of evaporated black holes.