In a Lorentzian manifold with non-negative Ricci curvature along null directions, any marginally trapped submanifold is a local volume maximizer inside its associated null hypersurface.
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The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition
In a Lorentzian manifold with non-negative Ricci curvature along null directions, any marginally trapped submanifold is a local volume maximizer inside its associated null hypersurface.