Inflation in Spherically Symmetric Inhomogeneous Models

Stein-Schabes, Jaime A.

doi:10.1103/PhysRevD.35.2345

Inflation in Spherically Symmetric Inhomogeneous Models

Jaime A. Stein-Schabes
(
- Fermilab
)

Nov, 1986

20 pages

Published in:

Phys.Rev.D 35 (1987) 2345

DOI:

10.1103/PhysRevD.35.2345

Report number:

FERMILAB-PUB-86-159-A

View in:

pdflinks

reference search54 citations

Citations per year

Abstract: (APS)

Exact analytical solutions of Einstein’s equations are found for a spherically symmetric inhomogeneous metric in the presence of a massless scalar field with a flat potential. The process of isotropization and homogenization is studied in detail. It is found that the time dependence of the metric becomes de Sitter for large times. Two cases are studied. The first deals with a homogeneous scalar field, while the second deals with a spherically symmetric inhomogeneous scalar field. In the former case the metric is of the Robertson-Walker form, while the latter is intrinsically inhomogeneous.

Einstein equation
FIELD EQUATIONS: SOLUTION
FIELD THEORY: SCALAR
SYMMETRY: rotation
MODEL: INFLATION
COSMOLOGICAL MODEL

References(20)

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

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

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

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

Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant

Robert M. Wald
(
- Chicago U., EFI
)

- Phys.Rev.D 28 (1983) 2118-2120
•
DOI:
- 10.1103/PhysRevD.28.2118

The Effect of Inflation on Anisotropic Cosmologies

Lars Gerhard Jensen
(
- Fermilab
)
,
Jaime A. Stein-Schabes
(
- Fermilab
)

- Phys.Rev.D 34 (1986) 931
•
DOI:
- 10.1103/PhysRevD.34.931

Homogeneous Cosmological Models and New Inflation

Michael S. Turner
(
- Fermilab and
- Chicago U., EFI
)
,
L.M. Widrow
(
- Fermilab and
- Chicago U., EFI
)

- Phys.Rev.Lett. 57 (1986) 2237-2240,
- Phys. Rev. Lett. 57 ( 1986) 2237-2240
•
DOI:
- 10.1103/PhysRevLett.57.2237

Inflation in a Shear or Curvature Dominated Universe

- Phys.Lett.B 128 (1983) 295-298
•
DOI:
- 10.1016/0370-2693(83)90263-0

- Phys.Rev.D 32 6

- Proc.Nat.Acad.Sci. 16 511

Spherically symmetrical models in general relativity

H. Bondi
(
- Trinity Coll., Cambridge
)

- Mon.Not.Roy.Astron.Soc. 107 (1947) 410-425
•
DOI:
- 10.1093/mnras/107.5-6.410

Inhomogeneous cosmologies with cosmological constant

John D. Barrow
(
- Sussex U.
)
,
J. Stein-Schabes
(
- Sussex U.
)

- Phys.Lett.A 103 (1984) 315-317
•
DOI:
- 10.1016/0375-9601(84)90467-5

A Class of Inhomogeneous Cosmological Models

P. Szekeres
(
- Adelaide U.
)

- Commun.Math.Phys. 41 (1975) 55
•
DOI:
- 10.1007/BF01608547

Cosmological Event Horizons, Thermodynamics, and Particle Creation

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2738-2751
•
DOI:
- 10.1103/PhysRevD.15.2738

Supercooled Phase Transitions in the Very Early Universe

S.W. Hawking
(
- Cambridge U.
)
,
I.G. Moss
(
- Cambridge U.
)

- Phys.Lett.B 110 (1982) 35-38,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 154-157
•
DOI:
- 10.1016/0370-2693(82)90946-7

- Mon.Not.Roy.Astron.Soc. 167 55

Evolution of Szekeres's cosmological models

- Mon.Not.Roy.Astron.Soc. 175 (1976) 85

Evolution of Density Perturbations Through Cosmological Phase Transitions

- Phys.Rev.D 30 (1984) 265
•
DOI:
- 10.1103/PhysRevD.30.265

COSMOLOGICAL PERTURBATIONS IN INFLATIONARY UNIVERSE MODELS

- Phys.Rev.D 29 (1984) 2172
•
DOI:
- 10.1103/PhysRevD.29.2172

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