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AbstractAfter presenting an intrinsic description of the geometry of null hypersurfaces, we show howEinstein's equations, that is, the Raychaudhuri and Damour eguations, can be recast as theconservation law of a Carrolian stress tensor. We then derive the symplectic structure and computethe kinematic Poisson bracket of elementary fields. These comprise the spin-0 area and surfacetension, the sp...