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In pre-big-bang string cosmology one uses a phase of dilaton-driven inflationto stretch an initial (microscopic) spatial patch to the (much larger) size ofthe big-bang fireball. We show that the dilaton-driven inflationary phase doesnot naturally iron out the initial classical tensor inhomogeneities unless theinitial value of the string coupling is smaller than 10^(-35).Comment: 16 pages, 2 figure

Fate of classical tensor inhomogeneities in pre-big-bang string cosmology