Effects of the shape of curvature peaks on the size of primordial black holes - INSPIRE

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Effects of the shape of curvature peaks on the size of primordial black holes

Albert Escrivà
(
- ICC, Barcelona U. and
- Barcelona U.
)
,
Antonio Enea Romano
(
- CERN and
- ICRA, Pescara
)

Mar 5, 2021

17 pages

Published in:

JCAP 05 (2021) 066

Published: May 24, 2021

e-Print:

2103.03867 [gr-qc]

DOI:

10.1088/1475-7516/2021/05/066 (publication)

Report number:

ICCUB-21-003

View in:

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Abstract: (IOP)

We simulate numerically the formation of spherically symmetric primordial black holes (PBHs) seeded by different families of primordial curvature perturbations profiles in a radiation dominated Friedman-Robertson-Walker (FRW) Universe. We have studied the dependency on the curvature profile of the initial mass M BH,i of the PBHs at the time of apparent horizon formation t AH, and the final mass M BH,f after the accretion process, using an excision technique, comparing M BH,i to previous analytical estimations obtained using a compensated PBHs model approach. The analytical estimations are in agreement with numerical results, except for large values of the initial perturbation amplitude, when the compensated model is less accurate. The masses M BH,f and M BH,i do not depend only on the shape around the compaction function peak, but on the full profile of the initial curvature perturbation. We also estimate the accretion effects, and for PBHs with masses relevant for the dark matter abundance, with a final mass equal to the horizon crossing mass, we find M BH,f ≈ 3 M BH,i.

Note:

9 pages and 10 figures. v2: small changes and references added

curvature: perturbation
black hole: primordial
curvature: primordial
horizon: formation
horizon: crossing
radiation: fluid
symmetry: rotation
accretion
numerical calculations
Robertson-Walker

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