How probable is inflation?

Hawking, S.W.; Page, Don N.

doi:10.1016/0550-3213(88)90008-9

How probable is inflation?

S.W. Hawking
(
- Cambridge U.
)
,
Don N. Page
(
- Penn State U.
)

Jun, 1987

21 pages

Published in:

Nucl.Phys.B 298 (1988) 789-809

Published: 1988

DOI:

10.1016/0550-3213(88)90008-9

Report number:

Print-87-0739 (PENN STATE)

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Abstract: (Elsevier)

The Henneaux-Gibbons-Hawking-Stewart canonical measure on the set of classical universes is applied to a Friedmann-Robertson-Walker model containing a massive scalar field. Although a uniform probability distribution in this measure would solve the flatness problem, it gives an ambiguous probability for inflation, since both the set of inflationary solutions and the set of noninflationary solutions have infinite measure.

MODEL: INFLATION
FIELD THEORY: SCALAR
FIELD EQUATIONS: SOLUTION
FIELD THEORY: HAMILTONIAN FORMALISM

References(10)

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

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

The Inflationary Universe

Andrei D. Linde
(
- Lebedev Inst.
)

- Rept.Prog.Phys. 47 (1984) 925-986,
- Rep. Prog. Phys. 47 ( 1984) 925-986
•
DOI:
- 10.1088/0034-4885/47/8/002

INFLATIONARY STAGES IN COSMOLOGICAL MODELS WITH A SCALAR FIELD

V.A. Belinsky
(
- Moscow, ITEP
)
,
I.M. Khalatnikov
(
- Moscow, ITEP
)
,
L.P. Grishchuk
(
- Sternberg Astron. Inst.
)
,
Ya.B. Zeldovich
(
- Moscow, Inst. Phys. Problems
)

- Phys.Lett.B 155 (1985) 232-236,
- In *Rome 1985, Proceedings, General Relativity, Pt. A*, 29-48
•
DOI:
- 10.1016/0370-2693(85)90644-6

- Sov.Phys.JETP 62 195

A Natural Measure on the Set of All Universes

- Nucl.Phys.B 281 (1987) 736
•
DOI:
- 10.1016/0550-3213(87)90425-1

A Fractal Set of Perpetually Bouncing Universes?

Don N. Page
(
- Penn State U.
)

- Class.Quant.Grav. 1 (1984) 417-427
•
DOI:
- 10.1088/0264-9381/1/4/015

Wave Function of the Universe

J.B. Hartle
(
- Chicago U., EFI and
- Santa Barbara, KITP
)
,
S.W. Hawking
(
- Cambridge U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 28 (1983) 2960-2975,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 174-189
•
DOI:
- 10.1103/PhysRevD.28.2960

The Quantum State of the Universe

S.W. Hawking
(
- Cambridge U.
)

- Nucl.Phys.B 239 (1984) 257,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 236-255
•
DOI:
- 10.1016/0550-3213(84)90093-2

Operator Ordering and the Flatness of the Universe

S.W. Hawking
(
- Cambridge U.
)
,
Don N. Page
(
- Penn State U.
)

- Nucl.Phys.B 264 (1986) 185-196,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 315-326
•
DOI:
- 10.1016/0550-3213(86)90478-5