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Angular momentum at null infinity

T Dray and M Streubel

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The definition of angular momentum recently given by Penrose (1982) is analysed on I. It is shown that this definition is essentially a supertranslation of previous definitions. The origin dependence of Penrose's angular momentum is shown to have the correct form. Based on Penrose's expression, the authors then define a momentum for all elements of the BMS Lie algebra, which is the first such expression with the property that its flux vanishes identically in Minkowski space.


PACS

04.20.Ha Asymptotic structure

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C60 Spinor and twistor methods; Newman-Penrose formalism

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

Subjects

Gravitation and cosmology

Dates

Issue 1 (January 1984)



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