Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime

Details Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime

2003-04-17

arxiv.org/abs/gr-qc/0304064v2

Class.Quant.Grav. 20:5121-5140,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 11 figures. The title was slightly changed, and references were added. The published version

Scientific paper

10.1088/0264-9381/20/23/011

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, -sigma1. 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>=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.

Affiliated with

Also associated with

No associations

Rating

Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10339