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

Rizzi, Anthony (2001) Angular momentum in general relativity: The definition at null infinity includes the spatial definition as a special case. Physical Review D, 63 (10). Art. no. 104002. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:RIZprd01

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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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:RIZprd01
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:RIZprd01
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.63.104002
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1315
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Jan 2006
Last Modified:26 Dec 2012 08:43

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