Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions

Details Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions

2008-11-24

arxiv.org/abs/0811.3869v1

Phys.Rev.D79:124048,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 3 figures

Scientific paper

10.1103/PhysRevD.79.124048

An infinite family of new exact solutions of the Einstein vacuum equations for static and axially symmetric spacetimes is presented. All the metric functions of the solutions are explicitly computed and the obtained expressions are simply written in terms of oblate spheroidal coordinates. Furthermore, the solutions are asymptotically flat and regular everywhere, as it is shown by computing all the curvature scalars. These solutions describe an infinite family of thin dust disks with a central inner edge, whose energy densities are everywhere positive and well behaved, in such a way that their energy-momentum tensor are in fully agreement with all the energy conditions. Now, although the disks are of infinite extension, all of them have finite mass. The superposition of the first member of this family with a Schwarzschild black hole was presented previously [G. A. Gonz\'alez and A. C. Guti\'errez-Pi\~neres, arXiv: 0811.3002v1 (2008)], whereas that in a subsequent paper a detailed analysis of the corresponding superposition for the full family will be presented.

Affiliated with

Also associated with

No associations

Rating

Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions 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 Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic static thin dust disks with an inner edge: An infinite family of new exact solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645089