Characterization of the null energy condition via displacement convexity of entropy
Characterization of the null energy condition via displacement convexity of entropy
Abstract We characterize the null energy condition for an ‐dimensional, time‐oriented Lorentzian manifold in terms of convexity of the relative ‐Renyi entropy along displacement interpolations on null hypersurfaces. More generally, we also consider Lorentzian manifolds with a smooth weight function and introduce the Bakry–Emery ‐null energy condition that we characterize …