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… 
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References

SHOWING 1-10 OF 24 REFERENCES
New representation of the Tomimatsu–Sato solution
We devise a new representation of the simplest Tomimatsu–Sato solution of Einstein’s vacuum field equations. This permits us to dispose of the previously troublesome ’’directional singularities’’
Topology of Some Spheroidal Metrics
The solutions of Einstein's vacuum field equations, Rμν = 0, are found when quasi‐oblate and prolate spheroidal coordinates are used. The solutions for the ``Newtonian'' potential can be written as a
Event horizon of the Tomimatsu-Sato metrics
Recen t ly GIBBOI~'S and RUSSEL-CLAltK (1) have s ta ted t h a t our new solution (3) to E ins t e in ' s v a c u u m field equat ion does n o t conta in an even t horizon. Af te r the publ ica t ion
Naked singularities and Seifert's conjecture
It is shown that for a general nonstatic spherically symmetric metric of the Kerr-Schild class several energy-momentum complexes give the same energy distribution as in the Penrose prescription,
Some properties of a particular static, axially symmetric space-time
The behavior of the directional singularities of a family of Weyl solutions is examined. By examining the space-time in a different coordinate system, the directional singularities are understood.
Physical Processes in Naked Singularity Formation.
Gravitational collapse is one of the most fruitful subjects in gravitational physics. It is well known that singularity formation is inevitable in complete gravitational collapse. It was conjectured
New Series of Exact Solutions for Gravitational Fields of Spinning Masses
New series of solutions for space-times which are regarded as representing the gravi­ tationaL fields of spinning bound masses is derived from a series of Weyl metrics, following Ernst's formulation
Strengths of naked singularities in Tolman-Bondi spacetimes
Christodoulou's recent analysis (1984) of naked singularities in time-symmetric Tolman-Bondi collapse is simplified and generalised to a wider class of Tolman-Bondi models. The strengths of the naked
Internal structure of black holes.
  • Poisson, Israel.
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1990
The gravitational effects associated with the radiative tail produced by a gravitational collapse with rotation are investigated. It is shown that the infinite blueshift of the tail's energy density
Asymptotic Covariant Conservation Laws for Gravitational Radiation
The usual conserved quantities of Lorentz-covariant theories are associated with the descriptors of coordinate transformations in Killing directions. By suitably defining the concept of
...
1
2
3
...