The Newman-Penrose quantities and the double-series approximation method

Physics

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The double-series method is used to investigate the Newman-Penrose quantities (NPQ) in the case of an axially symmetric isolated source which oscillates for a finite time. In this case there is a single NPQ. It is found that in part of spacetime this quantity is not defined because of the divergence of the Bondi-Sachs expansion used to derive it. The NPQ is conserved where it is defined, but I argue that the conservation has little physical importance.

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