On the formation of trapped surfaces

Details On the formation of trapped surfaces On the formation of trapped surfaces

2009-12-29

arxiv.org/abs/0912.5097v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

In a recent important breakthrough D. Christodoulou has solved a long standing problem of General Relativity of evolutionary formation of trapped surfaces in the Einstein-vacuum space-times. He has identified an open set of regular initial conditions on an outgoing null hypersurface (both finite and at past null infinity) leading to a formation a trapped surface in the corresponding vacuum space-time to the future of the initial outgoing hypersurface and another incoming null hypersurface with the prescribed Minkowskian data. In this paper we give a simpler proof for a finite problem by enlarging the admissible set of initial conditions and, consistent with this, relaxing the corresponding propagation estimates just enough that a trapped surface still forms. We also reduce the number of derivatives needed in the argument from two derivatives of the curvature to just one. More importantly, the proof, which can be easily localized with respect to angular sectors, has the potential for further developments.

Affiliated with

Also associated with

No associations

Rating

On the formation of trapped surfaces 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 the formation of trapped surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the formation of trapped surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62387