Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity

Details Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity

2004-03-11

arxiv.org/abs/gr-qc/0403044v1

Phys.Rev.D56:7498-7502,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX4, 5 pages

Scientific paper

10.1103/PhysRevD.56.R7498

A 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 Poincar\'e quasigroup and the Noether charge associated with any element of the Poincar\'e quasialgebra is defined. The integral conserved quantities of energy-momentum and angular momentum are linear on generators of Poincar\'e quasigroup, free of the supertranslation ambiguity, posess the flux and identically equal to zero in Minkowski spacetime.

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