# Global structure of the Zipoy–Voorhees–Weyl spacetime and the δ = 2 Tomimatsu–Sato spacetime

@article{Kodama2003GlobalSO, title={Global structure of the Zipoy–Voorhees–Weyl spacetime and the $\delta$ = 2 Tomimatsu–Sato spacetime}, author={Hideo Kodama and Wataru Hikida}, journal={Classical and Quantum Gravity}, year={2003}, volume={20}, pages={5121-5140} }

We investigate the structure of the ZVW (Zipoy–Voorhees–Weyl) spacetime, which is a Weyl solution described by the Zipoy–Voorhees metric, and the δ = 2 Tomimatsu–Sato spacetime. We show that the singularity of the ZVW spacetime, which is represented by a segment ρ = 0, − σ 1. These singularities are always naked and have positive Komar masses for δ > 0. Thus, they provide a non-trivial example of naked singularities with positive mass. We further show that the ZVW spacetime has a degenerate…

## 44 Citations

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