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arxiv: 0905.3292 · v2 · submitted 2009-05-20 · 🌀 gr-qc

Relating the Newman-Penrose constants to the Geroch-Hansen multipole moments

classification 🌀 gr-qc
keywords momentsmultipoleconstantscombinationsexpressexpressionsgeroch--hansengeroch-hansen
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In this paper, we express the Newman--Penrose constants in terms of the Geroch--Hansen multipole moments for stationary spacetimes. These expressions are translation-invariant combinations of the multipole moments up to quadrupole order, which do not normally vanish.

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