Moduli as inflatons in heterotic M-theory

We consider different cosmological aspects of heterotic M-theory. In partic ular we look at the dynamical behaviour of the two relevant moduli in the t heory, namely the length of the eleventh segment (pi rho) and the volume of the internal six manifold (V) in models where supersymmetry is broken by m ultiple gaugino condensation. We look at different ways to stabilize these moduli, namely racetrack scenarios with and without non-perturbative correc tions to the Kahler potential. The existence of different at directions in the scalar potential, and the way in which they can be partially lifted, is discussed as well as their possible role in constructing a viable model of inflation. Some other implications such as the status of the moduli proble m within these models are also studied.