Abstract
We show a model-independent fine-tuning issue in the DBI inflationary
mechanism. DBI inflation requires a warp factor h small enough to sufficiently
slow down the inflaton. On the other hand, the Einstein equation in extra
dimensions under the inflationary background deforms the warp space in the IR
side. Generically these two locations coincide with each other, spoiling the
DBI inflation. The origin and tuning of this ``h-problem'' is closely related,
through the AdS/CFT duality, to those of the well-known ``eta-problem'' in the
slow-roll inflationary mechanism.
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