Calculation of, and bounds for, the multipole moments of stationary spacetimes
classification
🌀 gr-qc
keywords
momentsmultipolegerochrecursionspacetimesstationaryasymptoticallybound
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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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