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Calculation of, and bounds for, the multipole moments of stationary spacetimes

Thomas Bäckdahl·Magnus Herberthson
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Abstract

In this paper the multipole moments of stationary asymptotically flat spacetimes are considered. We show how the tensorial recursion of Geroch and Hansen can be replaced by a scalar recursion on R^2. We also give a bound on the multipole moments. This gives a proof of the "necessary part" of a long standing conjecture due to Geroch.

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Thomas Bäckdahl, Magnus Herberthson. 2006-06-27. Calculation of, and bounds for, the multipole moments of stationary spacetimes. https://doi.org/10.1088/0264-9381%2F23%2F20%2F019

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