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Trilinear compensated compactness and Burnett's conjecture in general relativity
Consider a sequence of C 4 Lorentzian metrics {hn} +∞ n=1 on a manifold M satisfying the Einstein vacuum equation Ric(hn) = 0. Suppose there exists a smooth Lorentzian metric h 0 on M such that hn → h 0 uniformly on compact sets. Assume also that on any compact …