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

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.

arXiv comment11 pages

References in corpus (3)

• Initial data for stationary space-times near space-like infinity
• Explicit multipole moments of stationary axisymmetric spacetimes
• Static axisymmetric space-times with prescribed multipole moments

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