Moduli as inflatons in heterotic M-theory

We consider different cosmological aspects of Heterotic M-theory. Inparticular we look at the dynamical behaviour of the two relevant moduli in thetheory, namely the length of the eleventh segment (pi rho) and the volume ofthe internal six manifold (V) in models where supersymmetry is broken bymultiple gaugino condensation. We look at different ways to stabilise thesemoduli, namely racetrack scenarios with or without non-perturbative correctionsto the Kahler potential. The existence of different flat directions in thescalar potential, and the way in which they can be partially lifted, isdiscussed as well as their possible role in constructing a viable model ofinflation. Some other implications such as the status of the moduli problemwithin these models are also studied.Comment: 16 pages, 8 Postscript figures. Final version to appear in JHE