On the production of scalar and tensor perturbations in inflationary models

Turner, Michael S.

doi:10.1103/PhysRevD.48.3502

On the production of scalar and tensor perturbations in inflationary models

Michael S. Turner
(
- Chicago U. and
- Chicago U., Astron. Astrophys. Ctr. and
- Chicago U., EFI and
- Fermilab
)

Feb, 1993

27 pages

Published in:

Phys.Rev.D 48 (1993) 3502-3512

e-Print:

astro-ph/9302013 [astro-ph]

DOI:

10.1103/PhysRevD.48.3502

Report number:

FERMILAB-PUB-93-026-A

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Abstract: (arXiv)

The amplitude and spectrum of the scalar and tensor perturbations depend upon the shape of the inflationary potential in the small interval where the scalar field responsible for inflation was between about 46 and 54 e-folds before the end of inflation. By expanding the inflationary potential in a Taylor series in this interval we show that the amplitude of the perturbations and the power-law slope of their spectra can be expressed in terms of the value of the potential 50 e-folds before the end of inflation,

V_{50}

, the steepness of the potential, x_{50} \equiv \mpl V_{50}~\prime /V_{50}, and the rate of change of the steepness,

x_{50}~\prime

(prime denotes derivative with respect to the scalar field).

inflation
perturbation: scalar
perturbation: tensor
cosmic radiation: anisotropy
potential
chaos

References(49)

Figures(0)

The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems

Alan H. Guth
(
- SLAC
)

- Phys.Rev.D 23 (1981) 347-356,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 139-148 (reprint)
•
DOI:
- 10.1103/PhysRevD.23.347

Fluctuations in the New Inflationary Universe

Alan H. Guth
(
- MIT, LNS
)
,
S.Y. Pi
(
- Harvard U. and
- New Hampshire U.
)

- Phys.Rev.Lett. 49 (1982) 1110-1113,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 231-234
•
DOI:
- 10.1103/PhysRevLett.49.1110

The Development of Irregularities in a Single Bubble Inflationary Universe

S.W. Hawking
(
- Cambridge U.
)

- Phys.Lett.B 115 (1982) 295,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 235-237. (Phys. Lett. B115 (1982) 295-297). (see Book Index)
•
DOI:
- 10.1016/0370-2693(82)90373-2

Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe

- Phys.Rev.D 28 (1983) 679,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 242-256. (Phys. Rev. D28 (1983) 679-693) and Pennsylvania Univ. Philadelphia - UPR-0202T (rec.May 83) 55 p. (307007) (see Book Index)
•
DOI:
- 10.1103/PhysRevD.28.679

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

Graviton Creation in the Inflationary Universe and the Grand Unification Scale

V.A. Rubakov
(
- Moscow, INR
)
,
M.V. Sazhin
(
- Sternberg Astron. Inst.
)
,
A.V. Veryaskin
(
- Sternberg Astron. Inst.
)

- Phys.Lett.B 115 (1982) 189-192
•
DOI:
- 10.1016/0370-2693(82)90641-4

The Effect of Primordially Produced Gravitons upon the Anisotropy of the Cosmological Microwave Background Radiation

R. Fabbri
(
- Florence U.
)
,
M.d. Pollock
(
- Padua U.
)

- Phys.Lett.B 125 (1983) 445-448
•
DOI:
- 10.1016/0370-2693(83)91322-9

Constraints on Generalized Inflationary Cosmologies

L.F. Abbott
(
- Brandeis U.
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 244 (1984) 541-548
•
DOI:
- 10.1016/0550-3213(84)90329-8

The Stochastic Gravity Wave Background in Inflationary Universe Models

Bruce Allen
(
- Tufts U.
)

- Phys.Rev.D 37 (1988) 2078
•
DOI:
- 10.1103/PhysRevD.37.2078

Fluctuations at the threshold of classical cosmology

Edward R. Harrison
(
- Massachusetts U., Amherst
)

- Phys.Rev.D 1 (1970) 2726-2730
•
DOI:
- 10.1103/PhysRevD.1.2726

A Hypothesis, unifying the structure and the entropy of the universe

Ya.B. Zeldovich
(
- Moscow, IPM
)

- Mon.Not.Roy.Astron.Soc. 160 (1972) 1P-3P
•
DOI:
- 10.1093/mnras/160.1.1P

Structure in the COBE differential microwave radiometer first year maps

COBE

Collaboration

•

George F. Smoot

et al.

- Astrophys.J.Lett. 396 (1992) L1-L5
•
DOI:
- 10.1086/186504

- Astrophys.J. 396 L3

Grand unification, gravitational waves, and the cosmic microwave background anisotropy

Lawrence M. Krauss
(
- Yale U.
)
,
Martin J. White
(
- Yale U.
)

- Phys.Rev.Lett. 69 (1992) 869-872
•
e-Print:
- hep-ph/9205212
•
DOI:
- 10.1103/PhysRevLett.69.869

Cosmic microwave background probes models of inflation

Richard L. Davis
(
- Pennsylvania U.
)
,
Hardy M. Hodges
(
- Harvard-Smithsonian Ctr. Astrophys.
)
,
George F. Smoot
(
)
,
Paul J. Steinhardt
(
- Pennsylvania U.
)
,
Michael S. Turner
(
)

- Phys.Rev.Lett. 69 (1992) 1856-1859,
- Phys.Rev.Lett. 70 (1993) 1733 (erratum)
•
e-Print:
- astro-ph/9207001
•
DOI:
- 10.1103/PhysRevLett.69.1856

The Gravitational wave contribution to CMB anisotropies and the amplitude of mass fluctuations from COBE results

- Astrophys.J.Lett. 401 (1992) L49
•
e-Print:
- hep-ph/9208214
•
DOI:
- 10.1086/186668

Consequences of the COBE satellite for the inflationary scenario

D.S. Salopek
(
- Cambridge U.
)

- Phys.Rev.Lett. 69 (1992) 3602-3605
•
DOI:
- 10.1103/PhysRevLett.69.3602

A Prescription for Successful New Inflation

P.J. Steinhardt
(
- Pennsylvania U.
)
,
Michael S. Turner
(
- Chicago U., EFI and
- Fermilab
)

- Phys.Rev.D 29 (1984) 2162-2171
•
DOI:
- 10.1103/PhysRevD.29.2162

Origin of density fluctuations in extended inflation

- Phys.Rev.D 42 (1990) 3925-3935
•
DOI:
- 10.1103/PhysRevD.42.3925

Reheating an Inflationary Universe

- Phys.Rev.Lett. 48 (1982) 1437,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 441-444. (Phys. Rev. Lett. 48 (1982) 1437-1440). (see Book Index)
•
DOI:
- 10.1103/PhysRevLett.48.1437

Particle Production in the New Inflationary Cosmology

- Phys.Lett.B 117 (1982) 29,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 436-440. (Phys. Lett. B117 (1982) 29-33) and MIT Cambridge - CTP-0983 (82,rec.Jul.) 18 p
•
DOI:
- 10.1016/0370-2693(82)90867-X

Baryon Asymmetry in Inflationary Universe

A.D. Dolgov
(
- Moscow, ITEP
)
,
Andrei D. Linde
(
- Moscow, ITEP
)

- Phys.Lett.B 116 (1982) 329,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 430-435. (Phys. Lett. B116 (1982) 329-334) and Moscow Inst. Theor. Exp. Phys. GKAE - ITEF-82-078 (82,rec.Jul.) 16 p. (207206) (see Book Index)
•
DOI:
- 10.1016/0370-2693(82)90292-1

Generation of Isothermal Density Perturbations in the Inflationary Universe

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 158 (1985) 375-380
•
DOI:
- 10.1016/0370-2693(85)90436-8

Isothermal Density Perturbations in an Axion Dominated Inflationary Universe

D. Seckel
(
- Fermilab
)
,
Michael S. Turner
(
- Fermilab and
- Chicago U., EFI
)

- Phys.Rev.D 32 (1985) 3178
•
DOI:
- 10.1103/PhysRevD.32.3178

Isocurvature Baryon Number Fluctuations in an Inflationary Universe

Michael S. Turner
(
- Fermilab and
- Chicago U. and
- Chicago U., Astron. Astrophys. Ctr. and
- Chicago U., EFI
)
,
Andrew G. Cohen
(
- Harvard U.
)
,
David B. Kaplan
(
- UC, San Diego
)

- Phys.Lett.B 216 (1989) 20-26
•
DOI:
- 10.1016/0370-2693(89)91362-2

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