Bondi-type systems near spacelike infinity and the calculation of the Newman–Penrose constants
- 1 April 2000
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 41 (4) , 2195-2232
- https://doi.org/10.1063/1.533235
Abstract
We relate Bondi systems near spacelike infinity to another type of gauge conditions. While the former are based on null infinity, the latter are defined in terms of Einstein propagation, the conformal structure, and data on some Cauchy hypersurface. For a certain class of time symmetric space–times we study an expansion which allows us to determine the behavior of various fields arising in Bondi systems in the region of space–time where null infinity touches spacelike infinity. The coefficients of these expansions can be read off from the initial data. We obtain, in particular, expressions for the constants discovered by Newman and Penrose in terms of the initial data. For this purpose we calculate a certain expansion introduced by Friedrich [J. Geom. Phys. 24, 83–163 (1998)] up to third order.Keywords
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