Variations on Kaluza-Klein cosmology

We investigate the cosmological consequences of having quantum fields living in a space with compactified dimensions. We will show that the equation of state is not modified by topological effects and so the dynamics of the universe remains as it is in the infinite volume limit. On the contrary the thermal history of the universe depends on terms that are associated with having non-trivial topology. In the conclusions we discuss some issues about the relationship between the

c=1

non-critical string-inspired cosmology and the result obtained with matter given by a hot massless field in S~{1}\times \mbox{\bf R}.

Brans-Dicke model
dimension: 2
thermodynamics
field equations: solution
topology
Kaluza-Klein model
compactification
string model
finite temperature
numerical calculations

References(17)

Figures(0)

On Kaluza-Klein Cosmology

S. Randjbar-Daemi
(
- ICTP, Trieste and
- Bern U.
)
,
Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Phys.Lett.B 135 (1984) 388-392,
- Also in *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein Theories*, 335-339,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 568-572
•
DOI:
- 10.1016/0370-2693(84)90300-9

Heterotic String Theory. 1. The Free Heterotic String

- Nucl.Phys.B 256 (1985) 253,
- In *Schellekens, A.N. (ed.): Superstring construction* 76-107. (Nucl. Phys. B256 (1985) 253-284) and Preprint - Gross, D.J. (85,rec.Apr.) 58 p. (see Book Index)
•
DOI:
- 10.1016/0550-3213(85)90394-3

Heterotic String Theory. 2. The Interacting Heterotic String

- Nucl.Phys.B 267 (1986) 75-124
•
DOI:
- 10.1016/0550-3213(86)90146-X

Superstrings in the Early Universe

Robert H. Brandenberger
(
- Brown U.
)
,
C. Vafa
(
- Harvard U.
)

- Nucl.Phys.B 316 (1989) 391-410
•
DOI:
- 10.1016/0550-3213(89)90037-0

Elements of string cosmology

Arkady A. Tseytlin
(
- Johns Hopkins U.
)
,
C. Vafa
(
- Harvard U.
)

- Nucl.Phys.B 372 (1992) 443-466
•
e-Print:
- hep-th/9109048
•
DOI:
- 10.1016/0550-3213(92)90327-8

An Introduction to Dual Models of Strong Interactions and Their Physical Motivations

G. Veneziano
(
- Weizmann Inst. and
- CERN
)

- Phys.Rept. 9 (1974) 199-242,
- Reprinted in *Bohm, A. et al.: Dynamical groups and spectrum generating algebras, vol. 2* 627-669
•
DOI:
- 10.1016/0370-1573(74)90027-1

Evaluation of the One Loop String Path Integral

Joseph Polchinski
(
- Texas U.
)

- Commun.Math.Phys. 104 (1986) 37
•
DOI:
- 10.1007/BF01210791

Number of degrees of freedom, density of states and tachyons in string theory and CFT

David Kutasov
(
- Princeton U.
)
,
Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Nucl.Phys.B 358 (1991) 600-618
•
DOI:
- 10.1016/0550-3213(91)90426-X

Strings below the Planck scale

- Phys.Lett.B 280 (1992) 21-25
•
e-Print:
- hep-th/9201044
•
DOI:
- 10.1016/0370-2693(92)90766-W

Duality in nontrivially compactified heterotic strings

- Phys.Rev.D 47 (1993) 3411-3420
•
e-Print:
- hep-th/9207002
•
DOI:
- 10.1103/PhysRevD.47.3411

- Nucl.Phys.B 202 146

Duality Is an Exact Symmetry of String Perturbation Theory

- Phys.Rev.D 40 (1989) 1150
•
DOI:
- 10.1103/PhysRevD.40.1150

Mach's principle and a relativistic theory of gravitation

C. Brans
(
- Princeton U.
)
,
R.H. Dicke
(
- Princeton U.
)

- Phys.Rev. 124 (1961) 925-935,
•
DOI:
- 10.1103/PhysRev.124.925

Quantum fields versus strings at finite temperature

M.A.R. Osorio
(
- Harvard U.
)

- Int.J.Mod.Phys.A 7 (1992) 4275-4292
•
DOI:
- 10.1142/S0217751X92001903

Superstrings at Finite Temperature

Enrique Alvarez
(
- CERN
)
,
M.A.R. Osorio
(
- Madrid, Autonoma U.
)

- Phys.Rev.D 36 (1987) 1175
•
DOI:
- 10.1103/PhysRevD.36.1175

Moduli dependence of string loop corrections to gauge coupling constants

- Nucl.Phys.B 355 (1991) 649-688
•
DOI:
- 10.1016/0550-3213(91)90490-O

Geometry of N=2 strings

Hirosi Ooguri
(
- Chicago U. and
- Chicago U., EFI
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 361 (1991) 469-518,
- In *Trieste 1990, Proceedings, String theory and quantum gravity* 157-173 and Chicago Univ. - EFI 91-005 (91/01,rec.Feb.) 62 p
•
DOI:
- 10.1016/0550-3213(91)90270-8