Bounds on the cosmological abundance of primordial black holes from diffuse sky brightness: single mass spectra

Abstract

We constrain the mass abundance of unclustered primordial black holes (PBHs), formed with a simple mass distribution and subject to the Hawking evaporation and particle absorption from the environment. Since the radiative flux is proportional to the numerical density, an upper bound is obtained by comparing the calculated and observed diffuse background values, (similarly to the Olbers paradox in which point sources are considered) for finite bandwidths. For a significative range of formation redshifts the bounds are better than several values obtained by other arguments ${\Omega }_{pbh}\le 10^{-10}$; and they apply to PBHs which are evaporating today.

20 pages, 5 figures, to appear in PRD

References in corpus (5)

• Dynamics of Primordial Black Hole Formation
• Critical collapse and the primordial black hole initial mass function
• Primordial Black Hole Formation in Supergravity
• Cosmological Constraints from Primordial Black Holes
• Comment on "Formation of primordial black holes by cosmic strings"

Cited by in corpus (7)

• Primordial Black Holes
• Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early Universe
• Fundamental Particle Structure in the Cosmological Dark Matter
• Domination of black hole accretion in brane cosmology
• Cosmological Probes for Supersymmetry
• Thermodynamics of black holes in finite boxes
• Holographic Principle bounds on Primordial Black Hole abundances