Trilinear compensated compactness and Burnett's conjecture in general relativity

Cécile Huneau, Jonathan Luk

Consider a sequence of $C^4$ Lorentzian metrics $\{h_n{\}}_{n=1}^{+\infty }$ on a manifold $\mathcal{M}$ satisfying the Einstein vacuum equation $\mathrm{Ric}(h_n)=0$. Suppose there ex…