On Breakdown Criteria for Nonvacuum Einstein Equations

Details On Breakdown Criteria for Nonvacuum Einstein Equations On Breakdown Criteria for Nonvacuum Einstein Equations

2010-08-09

arxiv.org/abs/1008.1605v2

Annales Henri Poincare 12:205-277,2011

Mathematics

Analysis of PDEs

62 pages This version: corrected minor typos, expanded Section 6 (geometry of null cones)

Scientific paper

10.1007/s00023-011-0082-7

The recent "breakdown criterion" result of S. Klainerman and I. Rodnianski stated roughly that an Einstein-vacuum spacetime, given as a CMC foliation, can be further extended in time if the second fundamental form and the derivative of the lapse of the foliation are uniformly bounded. This theorem and its proof were extended to Einstein-scalar and Einstein-Maxwell spacetimes in the author's Ph.D. thesis. In this paper, we state the main results of the thesis, and we summarize and discuss their proofs. In particular, we will discuss the various issues resulting from nontrivial Ricci curvature and the coupling between the Einstein and the field equations.

Affiliated with

Also associated with

No associations

Rating

On Breakdown Criteria for Nonvacuum 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 Breakdown Criteria for Nonvacuum Einstein Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Breakdown Criteria for Nonvacuum Einstein Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582672