Can we have inflation with Omega > 1?

It is very difficult to obtain a realistic model of a closed inflationary universe. Even if one fine-tunes the total number of e-folds to be sufficiently small, the resulting universe typically has large density perturbations on the scale of the horizon. We describe a class of models where this problem can be resolved. The models are unattractive and fine-tuned, so the flatness of the universe remains a generic prediction of inflationary cosmology. Nevertheless one should keep in mind that with the fine-tuning at the level of about one percent one can obtain a semi-realistic model of a closed inflationary universe. The spectrum of density perturbations in this model may have a cut-off on the scale of the horizon. Similar approach may be valid in application to a compact inflationary universe with a nontrivial topology.

talk: Rovaniemi 2001/09/04
inflation: chaos
energy: density
effective potential
tunneling
field theory: scalar

References(30)

Figures(0)

First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of cosmological parameters

WMAP

Collaboration

•

D.N. Spergel

et al.

- Astrophys.J.Suppl. 148 (2003) 175-194
•
e-Print:
- astro-ph/0302209
•
DOI:
- 10.1086/377226

First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Implications for inflation

WMAP

Collaboration

•

H.V. Peiris
(
- Princeton U., Astrophys. Sci. Dept.
)

et al.

- Astrophys.J.Suppl. 148 (2003) 213-231
•
e-Print:
- astro-ph/0302225
•
DOI:
- 10.1086/377228

Reconstructing the primordial power spectrum

- Mon.Not.Roy.Astron.Soc. 342 (2003) L72
•
e-Print:
- astro-ph/0302306
•
DOI:
- 10.1046/j.1365-8711.2003.06807.x

WMAP and inflation

V. Barger
(
- Wisconsin U., Madison and
- Santa Barbara, KITP
)
,
Hye-Sung Lee
(
- Wisconsin U., Madison
)
,
Danny Marfatia
(
- Boston U. and
- Santa Barbara, KITP
)

- Phys.Lett.B 565 (2003) 33-41
•
e-Print:
- hep-ph/0302150
•
DOI:
- 10.1016/S0370-2693(03)00757-3

Joint CMB and weak lensing analysis: physically motivated constraints on cosmological parameters

- Phys.Rev.Lett. 90 (2003) 221303
•
e-Print:
- astro-ph/0302435
•
DOI:
- 10.1103/PhysRevLett.90.221303

A Toy model for open inflation

Andrei D. Linde
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 59 (1999) 023503
•
e-Print:
- hep-ph/9807493
•
DOI:
- 10.1103/PhysRevD.59.023503

CMB in open inflation

Andrei D. Linde
(
- Stanford U., Phys. Dept.
)
,
Misao Sasaki
(
- Osaka U.
)
,
Takahiro Tanaka
(
- Osaka U.
)

- Phys.Rev.D 59 (1999) 123522
•
e-Print:
- astro-ph/9901135
•
DOI:
- 10.1103/PhysRevD.59.123522

Extended open inflationary universes

- Phys.Rev.D 67 (2003) 063507
•
e-Print:
- gr-qc/0303024
•
DOI:
- 10.1103/PhysRevD.67.063507

A high resolution foreground cleaned CMB map from WMAP

Max Tegmark
(
- Pennsylvania U.
)
,
Angelica de Oliveira-Costa
(
- Pennsylvania U.
)
,
Andrew Hamilton
(
- JILA, Boulder and
- Colorado U.
)

- Phys.Rev.D 68 (2003) 123523
•
e-Print:
- astro-ph/0302496
•
DOI:
- 10.1103/PhysRevD.68.123523

WMAP data and the curvature of space

Jean-Philippe Uzan
(
)
,
Ulrich Kirchner
(
- Cape Town U., Dept. Math.
)
,
George F.R. Ellis
(
- Cape Town U., Dept. Math.
)

- Mon.Not.Roy.Astron.Soc. 344 (2003) L65
•
e-Print:
- astro-ph/0302597
•
DOI:
- 10.1046/j.1365-8711.2003.07043.x

Is the low CMB quadrupole a signature of spatial curvature?

George Efstathiou
(
- Cambridge U., Inst. of Astron.
)

- Mon.Not.Roy.Astron.Soc. 343 (2003) L95
•
e-Print:
- astro-ph/0303127
•
DOI:
- 10.1046/j.1365-8711.2003.06940.x

A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 108 (1982) 389-393,
- In *Moscow 1981, Proceedings, Quantum Gravity*, 185-195 and Moscow Inst. Phys. Acad. Sci. - 81-229 (81,REC.DEC.) 15p,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 149-153 (reprint)
•
DOI:
- 10.1016/0370-2693(82)91219-9

Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking

- Phys.Rev.Lett. 48 (1982) 1220-1223,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 158-161 (reprint)
•
DOI:
- 10.1103/PhysRevLett.48.1220

Chaotic Inflation

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 129 (1983) 177-181,
- Reprinted in *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 37-41
•
DOI:
- 10.1016/0370-2693(83)90837-7