The 3+1 decomposition of Conformal Yano-Killing tensors and "momentary"   charges for spin-2 field
  The "fully charged" spin-2 field solution is presented. This is an analog of the Coulomb solution in electrodynamics and represents the "non-waving" part of the spin-2 field theory. Basic facts and definitions of the spin--2 field and conformal Yano-Killing tensors are introduced. Application of those two objects provides a precise definition of quasi-local gravitational charge. Next, the 3+1 decomposition leads to the construction of the momentary gravitational charges on initial surface which is applicable for Schwarzschild-like spacetimes. 
Jacek Jezierski and Szymon Migacz
gr-qc math-ph math.MP