Physics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.3155s&link_type=abstract
Physical Review D (Particles and Fields), Volume 39, Issue 10, 15 May 1989, pp.3155-3158
Physics
6
Origin And Formation Of The Universe, Exact Solutions
Scientific paper
A higher-dimensional toroidal universe containing a perfect fluid obeying the equation of state p=(γ-1)ρ is considered. A previous analysis of the underlying equations of motion is extended to arbitrary values of γ. Solutions to the latter are studied near their singular points. It is found that in these regimes the curvature and matter terms are generically unimportant (except when γ=2) and that the superexponential inflation of the external dimensions is driven by a cross term ~(R˙/R)(r˙/r). This term could produce a large amount of entropy. This makes the resolution of the flatness and horizon problems in these models even easier than believed previously.
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