ON THE DERIVATION OF THE STRING EFFECTIVE ATION FROM AN ACCELERATION FIELD

We show that the string cosmology with dilaton can be derived, as a special case, from Caianiello’s model of General Relativity with maximal acceleration interpreting the dilaton as an acceleration field. In fact Caianiello’s theory allows us to recover the stringdilaton effective action starting from a gravitational action which is minimally coupled to a scalar field by means of a particular conformal transformation of the Friedman-Robertson-Walker (FRW) metric. We show that this scheme works near the Planck scale where the pure string-dilaton dynamics works.