From i° to the 3 + 1 description of spatial infinity

Abhay Ashtekar, Anne Magnon

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

By carrying out a 3 + 1 decomposition of the spi framework, the expressions of the conserved quantities, defined at / °in terms of the Weyl curvature, are recast in terms of the initial data of the physical space-time. In particular, the analysis brings out the supertranslation ambiguities in the usual 3 + 1 definitions of angular momentum and clarifies, within the 3 + 1 framework, the meaning of the stronger boundary condition needed to remove these ambiguities. The discussion is so arranged that only a minimal acquaintance with the spi framework is necessary to appreciate these issues.

Original languageEnglish (US)
Pages (from-to)2682-2690
Number of pages9
JournalJournal of Mathematical Physics
Volume25
Issue number9
DOIs
StatePublished - Jan 1 1984

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ambiguity
infinity
Infinity
angular momentum
Conserved Quantity
curvature
boundary conditions
Angular Momentum
decomposition
Space-time
Curvature
Boundary conditions
Decompose
Necessary
Framework
Ambiguity
Meaning

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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From i° to the 3 + 1 description of spatial infinity. / Ashtekar, Abhay; Magnon, Anne.

In: Journal of Mathematical Physics, Vol. 25, No. 9, 01.01.1984, p. 2682-2690.

Research output: Contribution to journalArticle

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