Total Mass-Momentum of Arbitrary Initial-Data Sets in General Relativity

Details Total Mass-Momentum of Arbitrary Initial-Data Sets in General Relativity Total Mass-Momentum of Arbitrary Initial-Data Sets in General Relativity

1994-03-29

arxiv.org/abs/gr-qc/9403057v1

J.Math.Phys.35:4157-4177,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, LaTeX

Scientific paper

10.1063/1.530880

For an asymptotically flat initial-data set in general relativity, the total mass-momentum may be interpreted as a Hermitian quadratic form on the complex, two-dimensional vector space of ``asymptotic spinors''. We obtain a generalization to an arbitrary initial-data set. The mass-momentum is retained as a Hermitian quadratic form, but the space of ``asymptotic spinors'' on which it is a function is modified. Indeed, the dimension of this space may range from zero to infinity, depending on the initial data. There is given a variety of examples and general properties of this generalized mass-momentum.

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