Abstract
Lovelock actions (more precisely, extended Gauss-Bonnet forms) when varied as Cartan forms on subspaces of higher-dimensional flat Riemannian manifolds, generate well set, causal exterior differential systems. In particular, the Einstein-Hilbert action 4-form, varied on a four-dimensional subspace of , yields a well set generalized theory of gravity having no constraints. Ricci-flat solutions are selected by initial conditions on a bounding 3-space.
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