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

arXiv:0905.3292 · doi:10.1088/0264-9381/26/17/175021

Abstract

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.

8 pages, added references