In this talk, I will discuss a robust method for producing a conservation law for linearised gravity on a stationary spacetime: the canonical energy of Hollands and Wald. Whilst its coercivity properties are obscure, I will argue that it can be used to obtain uniform boundedness results on the 4-dimensional Schwarzschild and Reissner–Nordström spacetimes. Remarkably, this does not rely on the Teukolsky equation, or the transformation theory associated with it. Time permitting, I will discuss recent progress towards producing a coercive estimate for linearised gravity on the higher dimensional Schwarzschild solution where both the decoupling and transformation theory fails.