Quasigroups, asymptotic symmetries, and conservation laws in general relativity

Abstract

A new quasigroup approach to conservation laws in general relativity is applied to study asymptotically flat spacetime at future null infinity. The infinite-parameter Newman-Unti group of asymptotic symmetries is reduced to the Poincare quasigroup, and the Noether charge associated with any element of the Poincare quasialgebra is defined. The integral conserved quantities of energy-momentum and angular momentum are linear on generators of Poincare quasigroup, are free of the supertranslation ambiguity, possess flux, and are identically equal to zero in Minkowski spacetime.