We investigate the structure of the ZVW ( Zipoy-Voorhees-Weyl ) spacetime , which is a Weyl solution described by the Zipoy-Voorhees metric , and the \delta = 2 Tomimatsu-Sato spacetime .
We show that the singularity of the ZVW spacetime , which is represented by a segment \rho = 0 , - \sigma < z < \sigma in the Weyl coordinates , is geometrically point-like for \delta < 0 , string-like for 0 < \delta < 1 and ring-like for \delta > 1 .
These singularities are always naked and have positive Komar masses for \delta > 0 .
Thus , they provide a non-trivial example of naked singularities with positive mass .
We further show that the ZVW spacetime has a degenerate Killing horizon with a ring singularity at the equatorial plane for \delta = 2 , 3 and \delta \geq 4 .
We also show that the \delta = 2 Tomimatsu-Sato spacetime has a degenerate horizon with two components , in contrast to the general belief that the Tomimatsu-Sato solutions with even \delta do not have horizons .