ON STRING COSMOLOGY AND THE RC FLOW IN 2D FIELD-THEORY

Time-dependent solutions of bosonic string theory resemble renormalisa tion group trajectories in the space of 2D field theories: they often interpolate between repulsive and attractive static solutions. It is s hown that the attractive static solutions are those whose spatial sect ions are minima of \ c (c) over bar- 25 \(,) where (c) over bar is the ''c-function''. The size of the domain of attraction of such a soluti on may be a measure of the probability of the corresponding string vac uum. Our discussion has also an implication for the RG flow in theorie s coupled to dynamical 2D gravity: the flow from models with c > 25 to models with c < 25 is forbidden.