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Intrinsic angular momentum and centre of mass in general relativity

Osvaldo M Moreschi

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There are several definitions in the literature of the notion of total angular momentum in general relativity. However, none of them can be said to capture the physical notion of intrinsic angular momentum of the sources in the presence of gravitational radiation. We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We have succeeded in providing an appropriate notion of intrinsic angular momentum and, at the same time, a definition of centre of mass frame at future null infinity. This notion is required in calculations involving radiation of angular momentum, as, for example, is expected in binary coalescence of black holes.


PACS

04.20.Cv Fundamental problems and general formalism

04.70.-s Physics of black holes

04.30.-w Gravitational waves

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Dates

Issue 23 (7 December 2004)

Received 13 April 2004, in final form 23 September 2004

Published 9 November 2004



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