An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes

Details An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes

2010-04-24

arxiv.org/abs/1004.4309v3

Physics

Mathematical Physics

corrected version

Scientific paper

We will give in this paper the proof of an integral breakdown criterion for Einstein vacuum equations. In a recent article of S.Klainerman and I.Rodnianski a new breakdown criterion was proved as a result of a sequence of articles involving new techniques. However, in this article, the authors mentioned that it was likely possible to prove a sharper result involving an integral condition instead of a pointwise one. This paper is concerned with giving the proof of this improvement. Moreover the proof of this breakdown criterion was written in the original article for a foliation of constant mean curvature, we will present it here for a maximal foliation which leads to some difficulties due to the non-compacity of the leaves of such a foliation and the use of weighted Sobolev norms.

Affiliated with

Also associated with

No associations

Rating

An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes 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 An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186186