Spin-2 fields on Minkowski space near space-like and null infinity

Abstract

We show that the spin-2 equations on Minkowski space in the gauge of the 'regular finite initial value problem at spacelike infinity' imply estimates which, together with the transport equations on the cylinder at spacelike infinity, allow us to obtain for a large class of initial data information on the smoothness of the solution near spacelike and null infinity of any desired precision