Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability of primordial black hole formation and its dependence on the
  radial profile of initial configurations   In this paper we derive the probability of the radial profiles of spherically
symmetric inhomogeneities in order to provide an improved estimation of the
number density of primordial black holes (PBHs). We demonstrate that the
probability of PBH formation depends sensitively on the radial profile of the
initial configuration. We do this by characterising this profile with two
parameters chosen heuristically: the amplitude of the inhomogeneity and the
second radial derivative, both evaluated at the centre of the configuration. We
calculate the joint probability of initial cosmological inhomogeneities as a
function of these two parameters and then find a correspondence between these
parameters and those used in numerical computations of PBH formation. Finally,
we extend our heuristic study to evaluate the probability of PBH formation
taking into account for the first time the radial profile of curvature
inhomogeneities.

13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int