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25 April 2024
 
  » arxiv » gr-qc/0403044

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Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity
Alexander I. Nesterov ;
Date 11 Mar 2004
Journal Phys.Rev. D56 (1997) 7498-7502
Subject gr-qc
AbstractA new quasigroup approach to conservation laws in general relativity is applied to study asymptotically flat at future null infinity spacetime. The infinite-parametric Newman-Unti group of asymptotic symmetries is reduced to the Poincaré quasigroup and the Noether charge associated with any element of the Poincaré quasialgebra is defined. The integral conserved quantities of energy-momentum and angular momentum are linear on generators of Poincaré quasigroup, free of the supertranslation ambiguity, posess the flux and identically equal to zero in Minkowski spacetime.
Source arXiv, gr-qc/0403044
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