Mathematics – Differential Geometry
Scientific paper
2004-08-16
Pacific J. Math. 226, 297--308 (2006)
Mathematics
Differential Geometry
12 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/foliation2.pdf and bibt
Scientific paper
We consider spacetimes with compact Cauchy hypersurfaces and with Ricci tensor bounded from below on the set of timelike unit vectors, and prove that the results known for spacetimes satisfying the timelike convergence condition, namely, foliation by CMC hypersurfaces, are also valid in the present situation, if corresponding further assumptions are satisfied. In addition we show that the volume of any sequence of spacelike hypersurfaces, which run into the future singularity, decays to zero provided there exists a time function covering a future end, such that the level hypersurfaces have non-negative mean curvature and decaying volume.
No associations
LandOfFree
On the CMC foliation of future ends of a spacetime 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 CMC foliation of future ends of a spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the CMC foliation of future ends of a spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-580122