Rolling radii and a timedependent dilation
Abstract
Three families of solutions of the background field equations for the bosonic string are presented. These solutions describe a Ddimensional spacetime for which the constant time slices are tori with D 1 "rolling radii"  that is, radii which are allowed to vary with time, along with a timedependent dilation field. Each of the three families (which correspond to D = 26, D > 26, or D < 26) includes solutions where d radii increase as the other D d1 radii decrease, where 0⩽ d⩽ D  1. It is shown that these solutions can be extended to order α' in nonlinear sigma model perturbation theory, and it is conjectured that this continues to any given order in α'.
 Publication:

Nuclear Physics B
 Pub Date:
 June 1990
 DOI:
 10.1016/05503213(90)90249D
 Bibcode:
 1990NuPhB.337...37M