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

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

2006-06-27

arxiv.org/abs/gr-qc/0606115v1

Class.Quant.Grav. 23 (2006) 5997-6006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1088/0264-9381/23/20/019

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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