Source integrals for multipole moments in static and axially symmetric spacetimes
Guerlebeck, N.
In this article, we derive source integrals, i.e., quasilocal expressions, for multipole moments in axially
symmetric and static spacetimes. Usually, these multipole moments are read off the asymptotics of the
metric close to spatial infinity.Whereas for the evaluation of the here derived source integrals the geometry
has to be known in the region containing all sources, i.e., matter as well as singularities. The source
integrals can be written either as volume integrals over such a region or as integrals over the surface of that
region. Eventually, these source integrals allow assigning to any spacetime regions its contribution to the
total multipole moments of the spacetime. Finally, we give an exemplary application that outlines the
usefulness and applicability of the source integrals in, e.g., (non)existence proofs.
type: | article |
journal: | Phys. Rev. D |
volume: | 90 |
pages: | 024041 |
year: | 2014 |