Static axisymmetric spacetimes with prescribed multipole moments
2005 (English)In: Classical and Quantum Gravity, ISSN 0264-9381 (print) 1361-6382 (online), Vol. 22, no 9, 1607-1621 p.Article in journal (Refereed) Published
In this paper we develop a method of finding the static axisymmetric spacetime corresponding to any given set ofmultipolemoments. In addition to an implicit algebraic form for the general solution, we also give a power series expression for all finite sets of multipole moments. As conjectured by Geroch we prove in the special case of axisymmetry, that there is a static spacetime for any given set of multipole moments subject to a (specified) convergence criterion. We also use this method to confirm a conjecture of Hernández-Pastora and Martín concerning the monopole–quadrupole solution.
Place, publisher, year, edition, pages
2005. Vol. 22, no 9, 1607-1621 p.
static, axisymmetric, exact solution, multipole moments, spacetime, algebraic equation
IdentifiersURN: urn:nbn:se:liu:diva-13749DOI: 10.1088/0264-9381/22/9/009OAI: oai:DiVA.org:liu-13749DiVA: diva2:21291