Exact metric for a nonrotating mass with a quadrupole moment

1969
3 pages
Published in:
  • Phys.Rev. 184 (1969) 1313-1315

Citations per year

1975198719992011202301234
Abstract: (APS)
Erez and Rosen have given a method for calculating an exact static metric for a nonrotating, cylindrically symmetric mass distribution possessing multipole moments of arbitrary order; however, the explicit expressions they give for the metric components arising from a combination of monopole and quadrupole moments contain errors. In this paper, we sketch the Erez-Rosen method and then state the corrected form of the metric for this experimentally significant case of a mass distribution with monopole and quadrupole moments.
  • relativity theory: gravitation
  • electric moment: quadrupole