paper

Moment Density of Zipoy's Dipole Solution

arXiv:gr-qc/0403113 · doi:10.1088/0264-9381/11/6/013

Abstract

Zipoy used spheroidal coordinates to construct a family of static axisymmetric gravitational fields included in Weyl's class. We calculate the mass moment source for the dipole solution using techniques previously developed for magnetic and angular momentum densities and compare it with the Newtonian analog studied by Bonnor and Sackfield.

10 pages, LaTeX 2.09