This talk continues the discussion of hyperbolic formulations of the vacuum Einstein equations (VEE). The previous talk in Fall 2025, we introduced the first local well-posedness result, established by Yvonne Choquet-Bruhat in 1952 using the “wave gauge”. This talk considers alternative approaches when assuming asymptotic flatness. By evolving VEE with a “maximal time foliation”, one can establish an elliptic-hyperbolic local well-posedness and an electric-magnetic type energy estimate. These are important ingredients in proof of global stability of Minkowski spacetime (Christodoulou–Klainerman, 1993).