Abstract
The Landau-Lifschitz pseudotensor is used to calculate the total angular momentum of an isolated radiative system in the full (axially symmetric) gravitational theory. The result differs from that derived from the Tamburino and Winicour definition of angular momentum, which is not based on a pseudotensor and which leads to a constant component of angular momentum about the symmetry axis. It is shown that the results cannot be brought into agreement by performing a BMS transformation.
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