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A comment on the outgoing radiation condition for the gravitational field and the peeling theorem. (English) Zbl 0943.83025
Summary: The connection between the Bondi-Sachs (BS) and the Newman-Penrose (NP) framework for the study of the asymptotics of the gravitational field is done. In particular the coordinate transformation relating the BS luminosity parameter and the NP affine parameter is obtained. Using this coordinate transformation it is possible to express BS quantities in terms of NP quantities, and to show that if the outgoing radiation condition is not satisfied then the spacetime will not decay in the way prescribed by the Peeling theorem.
MSC:
83C30Asymptotic procedures (general relativity)
83C50Electromagnetic fields in general relativity