Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-23
JCAP 0410:004,2004
Physics
High Energy Physics
High Energy Physics - Theory
9 pages 2 figures, new materials and references added
Scientific paper
10.1088/1475-7516/2004/10/004
If inflation can occur only at the energy density V much smaller than the Planck density, which is the case for many inflationary models based on string theory, then the probability of quantum creation of a closed or an infinitely large open inflationary universe is exponentially suppressed for all known choices of the wave function of the universe. Meanwhile under certain conditions there is no exponential suppression for creation of topologically nontrivial compact flat or open inflationary universes. This suggests, contrary to the standard textbook lore, that compact flat or open universes with nontrivial topology should be considered a rule rather than an exception.
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