We propose a novel model of inflation based on a large class of covariant
effective actions containing only the second derivatives of a scalar field. The
initial conditions leading to the inflationary solutions in this model are
rather generic. The graceful exit from the inflationary regime is natural once
the first order derivative terms are included.Comment: 21 pages,10 figures, references added, Fig.1 slightly corrected,
discussion about stability is extende