2005/06/23 by Thomas Backdahl, Magnus Herberthson
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/0264-9381/22/17/017
published as Class.Quant.Grav. 22 (2005) 3585-3594 · 11 pages; added references for section 6 and 7
arxiv created 2005/06/23 · arxiv updated 2009/12/01
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.