On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations

Details On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations

2000-12-24

arxiv.org/abs/gr-qc/0012093v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Latex, no figures

Scientific paper

The Zipoy-Voorhees family of static, axisymmetric vacuum solutions forms an interesting family in that it contains the Schwarzschild black hole excepting which all other members have naked singularity. We analyze some properties of the region near singularity by studying a natural family of 2-surfaces. We establish that these have the topology of the 2-sphere by an application of the Gauss-Bonnet theorem. By computing the area, we establish that the singular region is `point-like'. Isometric embedding of these surfaces in the three dimensional Euclidean space is used to distinguish the two types of deviations from spherical symmetry.

Affiliated with

Also associated with

No associations

Rating

On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations 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 On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Peculiar Family of Static, Axisymmetric, Vacuum Solutions of the Einstein Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678774