Superpotential method and the amplification of inflationary perturbations - INSPIRE

DataBETA

Superpotential method and the amplification of inflationary perturbations

Alexander Yu. Kamenshchik
(
- Landau Inst. and
- INFN, Bologna and
- Bologna U., Dept. Astron. and
- U. Bologna, DIFA
)
,
Ekaterina O. Pozdeeva
(
- SINP, Moscow
)
,
Augustin Tribolet
(
- INFN, Bologna and
- U. Bologna, DIFA and
- Liege U.
)
,
Alessandro Tronconi
(
- INFN, Bologna and
- U. Bologna, DIFA
)
,
Giovanni Venturi
(
- INFN, Bologna and
- U. Bologna, DIFA
)

Jun 28, 2024

13 pages

Published in:

Phys.Rev.D 110 (2024) 10, 104011

Published: Nov 6, 2024

e-Print:

2406.19762 [gr-qc]

DOI:

10.1103/PhysRevD.110.104011 (publication)

View in:

ADS Abstract Service

reference search4 citations

Citations per year

Abstract: (APS)

The superpotential method is a reconstruction technique which has proven useful to build exact cosmological solutions. We here employ the superpotential method in order to reconstruct the features necessary for the inflaton potential to drive inflation and lead to the amplification of the curvature perturbations. Such an amplification, at wavelengths shorter than those observed in the cosmic microwave background, is necessary in order to have a significant formation of primordial black holes after inflation ends. The technique is applied to the cases of a minimally coupled inflaton, to the nonminimal coupling case and to

f (R)

theories of gravity. For such theories, a model dependent analysis of the features leading to the scalar spectrum enhancement is also presented.

Note:

17 pages, final version accepted for publication on PRD

References(67)

Figures(0)

[1]

The Hypothesis of Cores Retarded during Expansion and the Hot Cosmological Model

- Sov.Astron. 10 (1967) 602

[2]

Gravitationally collapsed objects of very low mass

Stephen Hawking
(
- Cambridge U.
)

- Mon.Not.Roy.Astron.Soc. 152 (1971) 75
•
DOI:
- 10.1093/mnras/152.1.75

[3]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[4]

Massive and supermassive black holes in the contemporary and early Universe and problems in cosmology and astrophysics

A.D. Dolgov
(
- Novosibirsk State U. and
- Moscow, ITEP
)

- Usp.Fiz.Nauk 188 (2018) 2, 121-142,
- Phys.Usp. 61 (2018) 2, 115-132
•
e-Print:
- 1705.06859
•
DOI:
- 10.3367/UFNe.2017.06.038153

[4]

Massive and supermassive black holes in the contemporary and early Universe and problems in cosmology and astrophysics

A.D. Dolgov
(
- Novosibirsk State U. and
- Moscow, ITEP
)

- Usp.Fiz.Nauk 188 (2018) 2, 121-142,
- Phys.Usp. 61 (2018) 2, 115-132
•
e-Print:
- 1705.06859
•
DOI:
- 10.3367/UFNe.2017.06.038153

[5]

Primordial Black Holes as Dark Matter: Recent Developments

- Ann.Rev.Nucl.Part.Sci. 70 (2020) 355-394
•
e-Print:
- 2006.02838
•
DOI:
- 10.1146/annurev-nucl-050520-125911

[6]

Inflation and Primordial Black Holes

Ogan Özsoy
(
- Prague, Inst. Phys. and
- Madrid, IFT
)
,
Gianmassimo Tasinato
(
- Bologna U. and
- INFN, Bologna and
- Swansea U.
)

- Universe 9 (2023) 5, 203
•
e-Print:
- 2301.03600
•
DOI:
- 10.3390/universe9050203

[7]

Observational evidence for primordial black holes: A positivist perspective

Bernard Carr
(
- Queen Mary, U. of London
)
,
Sebastien Clesse
(
- Brussels U.
)
,
Juan Garcia-Bellido
(
- Madrid, IFT
)
,
Michael Hawkins
(
- Royal Observ., Edinburgh
)
,
Florian Kuhnel
(
- Munich, Max Planck Inst.
)

- Phys.Rept. 1054 (2024) 1-68
•
e-Print:
- 2306.03903
•
DOI:
- 10.1016/j.physrep.2023.11.005

[8]

Cosmological Signature of the Standard Model Higgs Vacuum Instability: Primordial Black Holes as Dark Matter

J.R. Espinosa
(
- Barcelona, IFAE and
- ICREA, Barcelona
)
,
D. Racco
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
A. Riotto
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)

- Phys.Rev.Lett. 120 (2018) 12, 121301
•
e-Print:
- 1710.11196
•
DOI:
- 10.1103/PhysRevLett.120.121301

[9]

Baryon isocurvature fluctuations at small scales and baryonic dark matter

Alexandre Dolgov
(
- UC, Berkeley, CfPA and
- Moscow, ITEP
)
,
Joseph Silk
(
)

- Phys.Rev.D 47 (1993) 4244-4255
•
DOI:
- 10.1103/PhysRevD.47.4244

[10]

Inflation and primordial black holes as dark matter

P. Ivanov
(
- Lebedev Inst.
)
,
P. Naselsky
(
- Copenhagen Astron. Observ. and
- Southern Federal U.
)
,
I. Novikov
(
- Lebedev Inst. and
- Copenhagen Astron. Observ. and
- Nordita
)

- Phys.Rev.D 50 (1994) 7173-7178
•
DOI:
- 10.1103/PhysRevD.50.7173

[11]

Density perturbations and black hole formation in hybrid inflation

Juan Garcia-Bellido
(
- Sussex U.
)
,
Andrei D. Linde
(
- Stanford U., Phys. Dept.
)
,
David Wands
(
- Portsmouth U. and
- Sussex U.
)

- Phys.Rev.D 54 (1996) 6040-6058
•
e-Print:
- astro-ph/9605094
•
DOI:
- 10.1103/PhysRevD.54.6040

[12]

Anatomy of single-field inflationary models for primordial black holes

- JCAP 03 (2023) 013
•
e-Print:
- 2205.13540
•
DOI:
- 10.1088/1475-7516/2023/03/013

[13]

Constraining Primordial Black Hole Formation from Single-Field Inflation

Jason Kristiano
(
- Tokyo U., RESCEU and
- U. Tokyo (main) and
- Tokyo U.
)
,
Jun'ichi Yokoyama
(
- Tokyo U., RESCEU and
- Tokyo U. and
- Tokyo U., IPMU and
- U. Tokyo (main)
)

- Phys.Rev.Lett. 132 (2024) 22, 221003
•
e-Print:
- 2211.03395
•
DOI:
- 10.1103/PhysRevLett.132.221003

[14]

Multi-Field versus Single-Field in the Supergravity Models of Inflation and Primordial Black Holes

Sergei V. Ketov
(
- Tokyo Metropolitan U. and
- Tomsk Polytechnic U. and
- Tokyo U., IPMU
)

- Universe 7 (2021) 5, 115
•
DOI:
- 10.3390/universe7050115

[15]

On the Scalar Field Dynamics in a Spatially Flat Friedman Universe

A.G. Muslimov
(
- Ioffe Phys. Tech. Inst.
)

- Class.Quant.Grav. 7 (1990) 231-237
•
DOI:
- 10.1088/0264-9381/7/2/015

[16]

Nonlinear evolution of long wavelength metric fluctuations in inflationary models

D.S. Salopek
(
- Fermilab
)
,
J.R. Bond
(
- Canadian Inst. Theor. Astrophys.
)

- Phys.Rev.D 42 (1990) 3936-3962
•
DOI:
- 10.1103/PhysRevD.42.3936

[17]

Exact solution in a string cosmological model

- Theor.Math.Phys. 148 (2006) 895-909,
- Teor.Mat.Fiz. 148 (2006) 23-41
•
e-Print:
- astro-ph/0412619
•
DOI:
- 10.1007/s11232-006-0086-5

[18]

Hamilton-Jacobi mechanics from pseudo-supersymmetry

Paul K. Townsend
(
- Cambridge U., DAMTP
)

- Class.Quant.Grav. 25 (2008) 045017
•
e-Print:
- 0710.5178
•
DOI:
- 10.1088/0264-9381/25/4/045017

[19]

Reconstruction of Scalar Potentials in Modified Gravity Models

A.Yu. Kamenshchik
(
- Bologna U. and
- INFN, Bologna and
- Landau Inst.
)
,
A. Tronconi
(
- Bologna U. and
- INFN, Bologna
)
,
G. Venturi
(
- INFN, Bologna and
- Bologna U.
)
,
S.Yu. Vernov
(
- ICE, Barcelona and
- Barcelona, IEEC and
- SINP, Moscow
)

- Phys.Rev.D 87 (2013) 6, 063503
•
e-Print:
- 1211.6272
•
DOI:
- 10.1103/PhysRevD.87.063503

[20]

Superpotential Method for $F(R)$ Cosmological Models

- Phys.Part.Nucl. 51 (2020) 4, 744-749
•
e-Print:
- 1912.07049
•
DOI:
- 10.1134/S1063779620040735

[21]

Inflation with a constant rate of roll

Hayato Motohashi
(
- Chicago U., KICP
)
,
Alexei A. Starobinsky
(
- Tokyo U., RESCEU and
- Landau Inst.
)
,
Jun'ichi Yokoyama
(
- Tokyo U., RESCEU and
- Tokyo U., IPMU
)

- JCAP 09 (2015) 018
•
e-Print:
- 1411.5021
•
DOI:
- 10.1088/1475-7516/2015/09/018

[22]

Constant-roll Inflation in $F(R)$ Gravity

S. Nojiri
(
- KMI, Nagoya and
- Nagoya U.
)
,
S.D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)
,
V.K. Oikonomou
(
- Tomsk Pedagogical Inst. and
- TUSUR, Tomsk
)

- Class.Quant.Grav. 34 (2017) 24, 245012
•
e-Print:
- 1704.05945
•
DOI:
- 10.1088/1361-6382/aa92a4

[23]

$f(R)$ constant-roll inflation

- Eur.Phys.J.C 77 (2017) 8, 538
•
e-Print:
- 1704.08188
•
DOI:
- 10.1140/epjc/s10052-017-5109-x

[24]

On the constant-roll inflation

- JCAP 03 (2018) 052
•
e-Print:
- 1712.07478
•
DOI:
- 10.1088/1475-7516/2018/03/052

1-25 of 67
1
2
3
25 / page