Towards supersymmetric cosmology in M-theory

We present a new solution in the heterotic M-theory in which the metric depends on (cosmic) time. The solution preserves N=1 supersymmetry in 4 dimensions in the leading order of the κ2/3 expansion. It is the first example of the time-dependent supersymmetric solution in M-theory on S1/Z2. It describes expanding 4-dimensional space–time with shrinking orientifold interval and static Calabi–Yau internal space.