Explicit multipole moments of stationary axisymmetric spacetimes
2005 (English)In: Classical and Quantum Gravity, ISSN 0264-9381 (print) 1361-6382 (online), Vol. 22, no 17, 3585-3594 p.Article in journal (Refereed) Published
In this paper, 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 , 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.
Place, publisher, year, edition, pages
2005. Vol. 22, no 17, 3585-3594 p.
IdentifiersURN: urn:nbn:se:liu:diva-13750DOI: 10.1088/0264-9381/22/17/017OAI: oai:DiVA.org:liu-13750DiVA: diva2:21292