Built on

B. J. Carr, The Primordial black hole mass spectrum
1975
Earlier work this paper cites.
J. M. Bardeen, J. Bond, N. Kaiser, and A. Szalay, The Statistics of Peaks of Gaussian Random Fields
1986
Earlier work this paper cites.
A. M. Green and A. R. Liddle, Constraints on the density perturbation spectrum from primordial black holes
1997
Earlier work this paper cites.
J. C. Niemeyer and K. Jedamzik, Near-critical gravitational collapse and the initial mass function of primordial black holes
1998
Earlier work this paper cites.
M. Shibata and M. Sasaki, Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
1999
Earlier work this paper cites.
J. C. Niemeyer and K. Jedamzik, Dynamics of primordial black hole formation
1999
Earlier work this paper cites.
K. Jedamzik and J. C. Niemeyer, Primordial black hole formation during first order phase transitions
1999
Earlier work this paper cites.
D. Wands, K. A. Malik, D. H. Lyth, and A. R. Liddle, A New approach to the evolution of cosmological perturbations on large scales
2000
Earlier work this paper cites.
I. Hawke and J. Stewart, The dynamics of primordial black hole formation
2002
Earlier work this paper cites.
A. R. Liddle and S. M. Leach, How long before the end of inflation were observable perturbations produced?
2003
Earlier work this paper cites.

Similar

A. M. Green, A. R. Liddle, K. A. Malik, and M. Sasaki, A New calculation of the mass fraction of primordial black holes
2004
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I. Musco, J. C. Miller, and L. Rezzolla, Computations of primordial black hole formation
2005
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J. R. Chisholm, Primordial Black Hole Minimum Mass
2006
Cited alongside, same era.
A. S. Josan, A. M. Green, and K. A. Malik, Generalised constraints on the curvature perturbation from primordial black holes
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2009
Cited alongside, same era.
I. Musco, J. C. Miller, and A. G. Polnarev, Primordial black hole formation in the radiative era: Investigation of the critical nature of the collapse
Original
2009
Cited alongside, same era.

Then

E. Bugaev and P. Klimai, Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition
Original
2012
Later among the works it cites.
S. Hotchkiss, A. Mazumdar, and S. Nadathur, Observable gravitational waves from inflation with small field excursions
Original
2012
Later among the works it cites.
E. Bugaev and P. Klimai, Cosmological constraints on the curvaton web parameters
Original
2013
Later among the works it cites.
S. Young and C. T. Byrnes, Primordial black holes in non-Gaussian regimes
Original
2013
Later among the works it cites.
S. Shandera, A. L. Erickcek, P. Scott, and J. Y. Galarza, Number Counts and Non-Gaussianity
Original

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2014

Calculating the mass spectrum of primordial black holes

Young, Sam, Byrnes, Christian T., Sasaki, Misao

Understand

We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the standard way vastly overestimates the number of PBHs, by many orders of magnitude.

This is because PBHs form shortly after horizon entry, meaning modes significantly larger than the PBH are unobservable and should not affect whether a PBH forms or not - this important effect is not taken into account by smoothing the distribution in the standard fashion.
We discuss alternative methods and argue that the density contrast, $\Delta$, should be used instead as super-horizon modes are damped by a factor $k^{2}$.
We make a comparison between using a Press-Schechter approach and peaks theory, finding that the two are in close agreement in the region of interest.

Built on

B. J. Carr, The Primordial black hole mass spectrum
1975
Earlier work this paper cites.
J. M. Bardeen, J. Bond, N. Kaiser, and A. Szalay, The Statistics of Peaks of Gaussian Random Fields
1986
Earlier work this paper cites.
A. M. Green and A. R. Liddle, Constraints on the density perturbation spectrum from primordial black holes
1997
Earlier work this paper cites.
J. C. Niemeyer and K. Jedamzik, Near-critical gravitational collapse and the initial mass function of primordial black holes
1998
Earlier work this paper cites.
M. Shibata and M. Sasaki, Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
1999
Earlier work this paper cites.
J. C. Niemeyer and K. Jedamzik, Dynamics of primordial black hole formation
1999
Earlier work this paper cites.
K. Jedamzik and J. C. Niemeyer, Primordial black hole formation during first order phase transitions
1999
Earlier work this paper cites.
D. Wands, K. A. Malik, D. H. Lyth, and A. R. Liddle, A New approach to the evolution of cosmological perturbations on large scales
2000
Earlier work this paper cites.
I. Hawke and J. Stewart, The dynamics of primordial black hole formation
2002
Earlier work this paper cites.
A. R. Liddle and S. M. Leach, How long before the end of inflation were observable perturbations produced?
2003
Earlier work this paper cites.