Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-09-13
Class.Quant.Grav. 18 (2001) 5487-5520
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, Plain TEX
Scientific paper
10.1088/0264-9381/18/24/312
The recently suggested quasi-local spin-angular momentum expressions, based on the Bramson superpotential and on the holomorphic or anti-holomorphic spinor fields, are calculated for large spheres near the future null infinity of asymptotically flat Einsten-Maxwell spacetimes. It is shown that although the expression based on the anti-holomorphic spinors is finite and unambiguously defined only in the center-of-mass frame (i.e. it diverges in general), the corresponding Pauli-Lubanski spin is always finite, free of ambiguities, and is built only from the gravitational data. Thus it defines a gravitational spin expression at the future null infinity. The construction based on the holomorphic spinors diverges in presence of outgoing gravitational radiation. For stationary spacetimes both constructions reduce to the `standard' expression.
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