Summary
We consider metric perturbations of Kaluza-Klein cosmological models filled with phenomenological matter. We find the exact solution for the development in time of the mixed perturbations, which have one index in the ordinary and one in the internal space. The initial values are assumed to be taken as quantum fluctuation. The contraction of the internal scales produces effectively massive wave modes in the ordinary space. The comparison of this particle creation with dark-matter estimations informs us about the fundamental parameters of the model.
Similar content being viewed by others
References
R. B. Abbot, S. M. Barr, S. D. Ellis:Phys. Rev. D,30, 720 (1984).
R. B. Abbot, S. M. Barr, S. D. Ellis:Phys. Rev. D,31, 673 (1985).
M. Yoshimura:Phys. Rev. D,30, 344 (1984).
K. Maeda:Phys. Rev. D,30, 2482 (1984).
K. Maeda andH. Nishino:Phys. Lett. B,194, 358 (1985).
P. Gribowsky:Phys. Rev. D,32, 3118 (1985).
A. Tomimatsu andH. Ishihara:Gen. Relativ. Gravit. J.,18, 161 (1986).
Y. Okada:Nucl. Phys. B,264, 197 (1986).
E. I. Guendelmann:Phys. Lett. B,193, 433 (1987).
E. I. Guendelmann:Phys. Lett. B,201, 39 (1988).
S. Cai, S. Hu andY. Xu:Phys. Lett. B,201, 34 (1988).
L. Farina-Busto:Phys. Rev. D,38, 1741 (1988).
M. Demianski, Z. Golda, M. Heller andM. Szydlowski:Class. Quant. Grav.,3, 1190 (1986).
M. Demianski andA. G. Polnarev: submitted toPhys. Rev. D (1990).
P. G. O. Freund andM. A. Rubin:Phys. Lett. B,97, 233 (1980).
A. Chodos andS. Detweiler:Phys. Rev. D,21, 2167 (1980).
P. Candelas andS. Weinberg:Nucl. Phys. B,237, 397 (1984).
Q. Shafi andC. Wetterich:Phys. Lett. B,129, 387 (1983).
Q. Shafi andC. Wetterich:Nucl. Phys. B,289, 787 (1987).
V. D. Ivashchuk andV. N. Melnikov:Phys. Lett. A,136, 465 (1989).
U. Bleyer andD. E. Liebscher: inProceedings of the III Seminar on Quantum Gravity, edited byM. A. Markov, V. A. Berezin andV. P. Frolov (World Scientific, Singapore, 1985), p. 662.
U. Bleyer andD.-E. Liebscher:Gen. Relativ. Gravit.,17, 989 (1985).
U. Bleyer, D.-E. Liebscher andA. G. Polnarev:Some more methods and exact solutions to Kaluza-Klein cosmologies, submitted toClass. Quant. Grav. (1990).
I. G. Moss:Phys. Lett. B,140, 29 (1984).
D. Sahdev:Phys. Lett. B,137, 155 (1984).
M. Gleiser, S. Rajpoot andJ. G. Taylor:Higher Dimensional Cosmologies, King's College preprint (1984).
S. Randjbar-Daemi, A. Salam andJ. Strathdee:Phys. Lett. B,135, 388 (1984).
L. P. Grishchuk:Žh. Ėksp. Teor. Fiz.,67, 825 (1974).
L. P. Grishchuk: inProceedings of the XI International Conference on General Relativity and Gravitation, edited byM. A. H. McCallum (Cambridge, UP, 1987), p. 86.
A. A. Starobinskij:Pi'sma Žh. Ėksp. Teor. Fiz.,42, 124 (1985).
Ja. B. Zel'dovich andJa. A. Smorodinskij:Žh. Ėksp. Teor. Fiz.,41, 1190 (1961).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bleyer, U., Liebscher, D.E. & Polnarev, A.G. Mixed metric perturbations in Kaluza-Klein cosmologies. Nuov Cim B 106, 107–122 (1991). https://doi.org/10.1007/BF02827328
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02827328