CONFORMAL YANO-KILLING TENSORS AND ASYMPTOTIC CYK TENSORS FOR THE SCHWARZSCHILD METRIC

We show some general properties of the conformal Yano-Killing tensor o n a Riemannian manifold. Several differential and algebraic equations are derived. The asymptotic conformal Yano-Killing tensor proposed ear lier by the author is analysed for the Schwarzschild metric and the te nsor equations defining this object are given. The result shows that t he Schwarzschild metric (and other metrics which are asymptotically 'S chwarzschildean' up to O(1/r(2)) at spatial infinity) is among the met rics fulfilling stronger asymptotic conditions and supertranslation am biguities disappear. It is also clear from the result that 14 asymptot ic gravitational charges are well defined on the 'Schwarzschildean' ba ckground.