Explicit multipole moments of stationary axisymmetric spacetimes

Details Explicit multipole moments of stationary axisymmetric spacetimes Explicit multipole moments of stationary axisymmetric spacetimes

2005-06-16

arxiv.org/abs/gr-qc/0506086v2

Class.Quant.Grav. 22 (2005) 3585-3594

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages; added references for section 6 and 7

Scientific paper

10.1088/0264-9381/22/17/017

In this article we study multipole moments of axisymmetric stationary asymptotically flat spacetimes. We show how the tensorial recursion of Geroch and Hansen can be reduced to a recursion of scalar functions. We also demonstrate how a careful choice of conformal factor collects all moments into one complex valued function on R, where the moments appear as the derivatives at 0. As an application, we calculate the moments of the Kerr solution. We also discuss the freedom in choosing the potential for the moments.

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