The Trautman-Bondi mass of hyperboloidal initial data sets
The Trautman-Bondi mass of hyperboloidal initial data sets
We give a definition of mass for conformally compactifiable initial data sets.The asymptotic conditions are compatible with existence of gravitational radiation, and the compactifications are allowed to be polyhomogeneous.We show that the resulting mass is a geometric invariant, and we prove positivity thereof in the case of a spherical conformal …