Dynamical extensions for shell-crossing singularities

Details Dynamical extensions for shell-crossing singularities Dynamical extensions for shell-crossing singularities

2003-01-08

arxiv.org/abs/gr-qc/0301028v1

Class.Quant.Grav. 20 (2003) 575-586

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 figure

Scientific paper

We derive global weak solutions of Einstein's equations for spherically symmetric dust-filled space-times which admit shell-crossing singularities. In the marginally bound case, the solutions are weak solutions of a conservation law. In the non-marginally bound case, the equations are solved in a generalized sense involving metric functions of bounded variation. The solutions are not unique to the future of the shell-crossing singularity, which is replaced by a shock wave in the present treatment; the metric is bounded but not continuous.

Affiliated with

Also associated with

No associations

Rating

Dynamical extensions for shell-crossing singularities 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 Dynamical extensions for shell-crossing singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical extensions for shell-crossing singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96836