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Published May 15, 2001 | public
Journal Article Open

Angular momentum in general relativity: The definition at null infinity includes the spatial definition as a special case

Rizzi, Anthony

Abstract

I show that the definition of angular momentum at null infinity given by A. Rizzi, Phys. Rev. Lett. 81, 1150 (1998), reduces to the Arnowitt-Deser-Misner definition at spatial infinity in the appropriate limit. This identification reinforces the gauge condition of the null definition as well as the null definition itself. Insight into the place of the null and spatial definitions is also gained. The methods used in this paper are very useful for understanding far-field problems in general relativity; a set of Appendixes gives details of the methods.

Additional Information

©2001 The American Physical Society Received 7 February 2000; published 4 April 2001 I would like to thank Demetrios Christodoulou for helpful conversation and for reading this manuscript for content. This work was supported in part by NSF Grants PHY92-10038 and PHY98-01158.

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