Calculation of, and bounds for, the multipole moments of stationary spacetimes
arXiv:gr-qc/0606115 · doi:10.1088/0264-9381/23/20/019
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.
11 pages