Generalised constraints on the curvature perturbation from primordial black holes
By A. Josan, A. Green, Karim A. Malik. 2009
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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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f1c6897051d6dd86bf97fdd8f98d771af85032cc
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Citations in the corpus
- PROBING THE INFLATON: SMALL-SCALE POWER SPECTRUM CONSTRAINTS FROM MEASUREMENTS OF THE COSMIC MICROWAVE BACKGROUND ENERGY SPECTRUM (2012, methodology): “Since UCMHs form in lower density regions than those that produce PBHs, limits on their abundance can provide tighter constraints on the primordial power spectrum (Josan & Green 2010b; Bringmann et al. 2011).”
- Gauge field production in supergravity inflation: Local non-Gaussianity and primordial black holes (2012, background): “Now, the bounds on b in terms of the would-be black hole mass MBH were given in [36] and updated in [37].”
- Science with the space-based interferometer LISA. IV: probing inflation with gravitational waves (2016, background): “amplitude of 10−2 at f∗ = 10 6 Hz [116].”
- Primordial black holes in non-Gaussian regimes (2013, background): “Whilst they have never been detected, this fact is enough to rule out or at least constrain many different cosmological models (see Refs.”
- Galactic Searches for Dark Matter (2012, background): “General astrophysical limits on the abundance of primordial black holes of a given mass result from searching for their gravitational interactions or for particles that may be produced during their evaporation (Josan et al., 2009).”
- Inflationary magnetogenesis without the strong coupling problem (2013, background): “The constraint from black hole formation on small scales does however still apply [57], and hence we need to have γ 10−2 in order to satisfy this constraint.”
- Observable Spectra of Induced Gravitational Waves from Inflation (2012, background): “[7]), bounds from Ultra compact Mini Halos [8–12] and the astrophysical bounds on the production of Primordial Black Holes (PBHs) [13, 14].”
- Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation (2019, background): “and the linear transfer function, where we consider rm as a time dependent measure of the horizon, is given by [55]”