Energy functionals from Conformal Gravity

A bstract We provide a new derivation of the Hawking mass and Willmore energy functionals for asymptotically AdS spacetimes, by embedding Einstein-AdS gravity in Conformal Gravity. By construction, evaluation four-dimensional Gravity action manifold with conical defect produces codimension-2 conformal invariant functional L Σ . The are then particular cases pure ambient spaces, respectively. bulk is finite asymptotics both as well. result suggests generic relation between invariance renormalization, where properties inherited from action.