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

  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},
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… 
Tomimatsu-Sato geometries, holography and quantum gravity
We analyze the δ = 2 Tomimatsu–Sato spacetime in the context of the proposed Kerr/CFT correspondence. This four-dimensional vacuum spacetime is not only asymptotically flat and has a well-defined ADM
Computing the Arnold Tongue in the Zipoy-Voorhees Space-time
In this thesis I study the integrability of the geodesic equations of the ZipoyVoorhees metric. The Zipoy-Voorhees spacetime is a one parameter family of Stationary Axisymmetric Vacuum spacetimes
Geodesics and resonances of the Manko-Novikov spacetime
In this thesis I study compact objects described by the Manko-Novikov spacetime. The MankoNovikov spacetime is an exact solution to the Einstein Field Equations that allows objects to be black
J an 2 00 9 1 Repulsons in the Myers-Perry Family
In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do not have a
Effective apsidal precession from a monopole solution in a Zipoy spacetime
In this work, we examine the orbit equations originated from Zipoy’s oblate metric. Accordingly, the solution of Einstein’s vacuum equations can be written as a linear combination of Legendre
Observable properties of orbits in exact bumpy spacetimes
We explore the properties of test-particle orbits in bumpy spacetimes—stationary, reflection-symmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous)
Repulsons in the Myers-Perry Family
In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do not have a
Completing characterization of photon orbits in Kerr and Kerr-Newman metrics
Recently, several new characteristics have been introduced to describe null geodesic structure of stationary spacetimes, such as photon regions (PR) and transversely trapping surfaces (TTS). The
Weyl metrics and wormholes
We study solutions obtained via applying dualities and complexifications to the vacuum Weyl metrics generated by massive rods and by point masses. Rescaling them and extending to complex parameter
Disk sources of the Kerr and Tomimatsu-Sato spacetimes: Construction and physical properties
We construct the disk sources matched to the exact vacuum Kerr and to the two classes of Tomimatsu-Sato spacetimes. We analyze two models of the matter forming these disks. At each radius we consider


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