On angular momentum of gravitational radiation
Alexander I. Nesterov
TL;DR
This paper refines the understanding of angular momentum in gravitational radiation by introducing new gauge conditions, ensuring well-defined conserved quantities free from supertranslational ambiguities.
Contribution
It completes the quasigroup approach to conservation laws by imposing gauge conditions that eliminate supertranslational ambiguities in angular momentum calculations.
Findings
Noether charge associated with Poincaré quasialgebra is free from supertranslational ambiguity.
The charge vanishes in flat spacetime, confirming consistency.
The approach provides a clearer definition of angular momentum in gravitational radiation.
Abstract
The quasigroup approach to the conservation laws (Phys. Rev. D56, R7498 (1997)) is completed by imposing new gauge conditions for asymptotic symmetries. Noether charge associated with an arbitrary element of the Poincar\'e quasialgebra is free from the supertranslational ambiquity and identically vanishes in a flat spacetime
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