Abstract

The connection between the Bondi-Sachs (BS) andthe Newman-Penrose (NP) framework for the study of theasymptotics of the gravitational field is done. Inparticular the coordinate transformation relating the BS luminosity parameter and the NP affineparameter is obtained. Using this coordinatetransformation it is possible to express BS quantitiesin terms of NP quantities, and to show that if theOutgoing Radiation Condition is not satisfied then thespacetime will not decay in the way prescribed by thePeeling theorem.

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