Eternal acceleration from M-theory

Abstract

The dimensional reduction of $D$-dimensional spacetimes arising in string/M-theory, to the conformal Einstein frame, may give rise to cosmologies with accelerated expansion. Through a complete analysis of thedynamics of doubly warped product spacetimes, in terms of scale invariant variables, it is demonstrated that for $D \geq$ 10, eternally accelerating four-dimensional $\kappa$ = - Friedmann cosmologies arise from dimensional reduction on an internal space with negative Einstein geometry.