Forming sub-horizon black holes at the end of inflation

Previous authors have calculated the mass function of primordial black holes only on scales which are well outside the horizon at the end of inflation. Here we extend the calculation to sub-horizon scales, on which the density perturbation never becomes classical. Regarding the formation of black holes as a `measurement' of the (high peaks) of the density perturbation, we estimate a mass function by assuming that black holes form as soon as inflation ends, in those rare regions where the Bardeen potential exceeds a threshold value of

Psi_c\simeq 0.5

.

04.70.-s
98.80.-k
inflation
black hole: mass
inflaton: fluctuation
fluctuation: spectrum
black hole: production
space-time: perturbation
potential
numerical calculations

References(26)

Figures(0)

Black holes in the early Universe

- Mon.Not.Roy.Astron.Soc. 168 (1974) 399-415
•
DOI:
- 10.1093/mnras/168.2.399

The Primordial black hole mass spectrum

Bernard J. Carr
(
- Cambridge U., DAMTP and
- Caltech
)

- Astrophys.J. 201 (1975) 1-19
•
DOI:
- 10.1086/153853

- Astrophys.J. 187 452

Dynamics of primordial black hole formation

- Phys.Rev.D 59 (1999) 124013
•
e-Print:
- astro-ph/9901292
•
DOI:
- 10.1103/PhysRevD.59.124013

A New calculation of the mass fraction of primordial black holes

- Phys.Rev.D 70 (2004) 041502
•
e-Print:
- astro-ph/0403181
•
DOI:
- 10.1103/PhysRevD.70.041502

Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity

Masaru Shibata
(
- Osaka U. and
- Illinois U., Urbana
)
,
Misao Sasaki
(
- Osaka U. and
- Tokyo U.
)

- Phys.Rev.D 60 (1999) 084002
•
e-Print:
- gr-qc/9905064
•
DOI:
- 10.1103/PhysRevD.60.084002

Computations of primordial black hole formation

Ilia Musco
(
- SISSA, Trieste
)
,
John C. Miller
(
- SISSA, Trieste and
- Oxford U.
)
,
Luciano Rezzolla
(
- SISSA, Trieste and
- Louisiana State U.
)

- Class.Quant.Grav. 22 (2005) 1405-1424
•
e-Print:
- gr-qc/0412063
•
DOI:
- 10.1088/0264-9381/22/7/013

Constraints on the spectral index from primordial black holes

Hee Il Kim
(
- Hanyang U.
)
,
Chul H. Lee
(
- Hanyang U.
)

- Phys.Rev.D 54 (1996) 6001-6007
•
DOI:
- 10.1103/PhysRevD.54.6001

Black hole relics and inflation: Limits on blue perturbation spectra

Bernard J. Carr
(
- Queen Mary, U. of London
)
,
J.H. Gilbert
(
- Queen Mary, U. of London
)
,
James E. Lidsey
(
- Fermilab
)

- Phys.Rev.D 50 (1994) 4853-4867
•
e-Print:
- astro-ph/9405027
•
DOI:
- 10.1103/PhysRevD.50.4853

Constraints on the density perturbation spectrum from primordial black holes

Anne M. Green
(
- Sussex U.
)
,
Andrew R. Liddle
(
- Sussex U.
)

- Phys.Rev.D 56 (1997) 6166-6174
•
e-Print:
- astro-ph/9704251
•
DOI:
- 10.1103/PhysRevD.56.6166

Black hole constraints on the running mass inflation model

Samuel M. Leach
(
- Imperial Coll., London and
- Sussex U.
)
,
Ian J. Grivell
(
- Imperial Coll., London
)
,
Andrew R. Liddle
(
- Imperial Coll., London and
- Sussex U.
)

- Phys.Rev.D 62 (2000) 043516
•
e-Print:
- astro-ph/0004296
•
DOI:
- 10.1103/PhysRevD.62.043516

Primordial black holes: Recent developments

Bernard J. Carr
(
- Queen Mary, U. of London
)

- eConf C041213 (2004) 0204
•
e-Print:
- astro-ph/0504034

Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations

Alexei A. Starobinsky
(
- Landau Inst.
)

- Phys.Lett.B 117 (1982) 175-178,
- Phys. Lett. B117 ( 1982) 175-178
•
DOI:
- 10.1016/0370-2693(82)90541-X

Decoherence, the Measurement Problem, and Interpretations of Quantum Mechanics

Maximilian Schlosshauer
(
- Washington U., Seattle
)

- Rev.Mod.Phys. 76 (2004) 1267-1305
•
e-Print:
- quant-ph/0312059
•
DOI:
- 10.1103/RevModPhys.76.1267

Semiclassicality and decoherence of cosmological perturbations

David Polarski
(
- Tours U. and
- Meudon Observ.
)
,
Alexei A. Starobinsky
(
- Landau Inst.
)

- Class.Quant.Grav. 13 (1996) 377-392
•
e-Print:
- gr-qc/9504030
•
DOI:
- 10.1088/0264-9381/13/3/006

Quantum to classical transition for fluctuations in the early universe

Claus Kiefer
(
- Freiburg U.
)
,
David Polarski
(
- Tours U. and
- Meudon Observ.
)
,
Alexei A. Starobinsky
(
- Landau Inst.
)

- Int.J.Mod.Phys.D 7 (1998) 455-462
•
e-Print:
- gr-qc/9802003
•
DOI:
- 10.1142/S0218271898000292

Gauge Invariant Cosmological Perturbations

James M. Bardeen
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.D 22 (1980) 1882-1905,
- Also in *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 202-225, and in *Kolb, E.W. (ed.), Turner, M.S. (ed.): The Early universe* 563-586
•
DOI:
- 10.1103/PhysRevD.22.1882