On Conserved Quantities at Spatial Infinity

Details On Conserved Quantities at Spatial Infinity On Conserved Quantities at Spatial Infinity

1998-07-30

arxiv.org/abs/gr-qc/9807082v1

J.Math.Phys.40:1923-1950,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages, submitted to J. Math. Physics

Scientific paper

10.1063/1.532841

There is a well-known short list of asymptotic conserved quantities for a physical system at spatial infinity. We search for new ones.This is carried outwithin the asymptotic framework of Ashtekar and Romano, in which spatial infinity is represented as a smooth boundary of space-time. We first introduce, for physical fields on space-time,a characterization of their asymptotic behavior as certain fields on this boundary. Conserved quantities at spatial infinity, in turn, are constructed from these fields. We find,in Minkowski space-time, that each of a Klein-Gordon field, a Maxwell field, and a linearized gravitational field yields an entire hierarchy of conserved quantities. Only certain quantities in this hierarchy survive into curved space-time.

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