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Bondi-type systems near space-like infinity and the calculation of the NP-constants

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Friedrich,  Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Friedrich, H., & Kannar, J. (2000). Bondi-type systems near space-like infinity and the calculation of the NP-constants. Journal of Mathematical Physics, 41, 2195-2232.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5770-7
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. (C) 2000 American Institute of Physics. [S0022-2488(00)02602-5].