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

W B Bonnor

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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.


PACS

04.20.Cv Fundamental problems and general formalism

04.30.-w Gravitational waves

MSC

83C35 Gravitational waves

83C60 Spinor and twistor methods; Newman-Penrose formalism

Subjects

Gravitation and cosmology

Dates

Issue 2 (21 January 2001)

Received 7 August 2000



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