Stability of the intrinsic energy vanishing in the Schwarzschild metric   under a slow rotation
  The linearized Kerr metric is considered and put in some Gauss coordinates which are further {\em intrinsic} ones. The linear and angular 4-momenta of this metric are calculated in these coordinates and the resulting value is just zero. Thus, the global vanishing previously found for the Schwarzschild metric remains linearly stable under slow rotational perturbations of this metric. 
Juan M. Aguirregabiria, Ramon Lapiedra and Juan Antonio   Morales-Lladosa
gr-qc