Total mass-momentum of arbitrary initial-data sets in general relativity
- 1 August 1994
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (8) , 4157-4177
- https://doi.org/10.1063/1.530880
Abstract
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.’’ A generalization to an arbitrary initial-data set is obtained. 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.Keywords
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