Mathematics – Logic
Scientific paper
Mar 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112..375l&link_type=abstract
Nuovo Cimento B, Vol. 112B, No. 2 - 3, p. 375 - 382
Mathematics
Logic
Kaluza-Klein Theory: Cosmological Models
Scientific paper
The author discusses a model 4-dimensional Friedmann cosmology which may have evolved from a model of a (4+D)-dimensional Kaluza-Klein (KK) universe. After compactification of extra dimensions, the 4-dimensional BD parameter appearing in the dimensional reduction is negative. The author found that if there had been an inflationary transition, the matter-dilaton coupling quickly became exponentially small. Then the universe undergoes a polar-type superluminal expansion, and the density parameter of the post-inflationary universe becomes a discrete quantity. In particular, for the universe compactified from 9 dimensions (D = 5), it is shown that Ωtotal = 0.26 even if the universe is geometrically flat (k = 0).
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