Generalised constraints on the curvature perturbation from primordial black holes

Abstract

Primordial black holes (PBHs) can form in the early Universe via the collapse of large density perturbations. There are tight constraints on the abundance of PBHs formed due to their gravitational effects and the consequences of their evaporation. These abundance constraints can be used to constrain the primordial power spectrum, and hence models of inflation, on scales far smaller than those probed by cosmological observations. We compile, and where relevant update, the constraints on the abundance of PBHs before calculating the constraints on the curvature perturbation, taking into account the growth of density perturbations prior to horizon entry. We consider two simple parameterizations of the curvature perturbation spectrum on the scale of interest: constant and power-law. The constraints from PBHs on the amplitude of the power spectrum are typically in the range 10^{-2}-10^{-1} with some scale dependence.

10 pages, 2 figures, version to appear in Phys. Rev. D with minor change to calculation of constraints for spectral index not equal to one

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• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Black hole formation and slow-roll inflation
• Do Evaporating Black Holes Form Photospheres?
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Cited by in corpus (10)

• Constraints on the induced gravitational wave background from primordial black holes
• Observable Spectra of Induced Gravitational Waves from Inflation
• Separate Universes Do Not Constrain Primordial Black Hole Formation
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• Relic gravitational waves from light primordial black holes
• Gamma-rays from ultracompact minihalos: potential constraints on the primordial curvature perturbation
• Generating Primordial Black Holes Via Hilltop-Type Inflation Models
• The long-short wavelength mode coupling tightens primordial black hole constraints
• Constraints on the primordial power spectrum of small scales using the neutrino signals from the dark matter decay
• Constraints on small-scale cosmological perturbations from gamma-ray searches for dark matter