The Constant Mean Curvature Einstein flow and the Bel-Robinson energy

Details The Constant Mean Curvature Einstein flow and the Bel-Robinson energy The Constant Mean Curvature Einstein flow and the Bel-Robinson energy

2007-05-21

arxiv.org/abs/0705.3070v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

71 pages. This is an improved version of part of arXiv:0705.3070 that we now replace. An improved version of the second part o

Scientific paper

We give an extensive treatment of the Constant Mean Curvature (CMC) Einstein flow from the point of view of the Bel-Robinson energies. The article, in particular, stresses on estimates showing how the Bel-Robinson energies and the volume of the evolving states control intrinsically the flow along evolution. The treatment is for flows over compact three-manifolds of arbitrary topological type, although the form of the estimates may vary depending on the Yamabe invariant of the manifold. We end up showing well posedness of the CMC Einstein flow with H^{3} x H^{2} regularity, and proving a criteria for a flow to be a long-time flow on manifolds with non-positive Yamabe invariant in terms only of the first order Bel-Robinson energy.

Affiliated with

Also associated with

No associations

Rating

The Constant Mean Curvature Einstein flow and the Bel-Robinson energy 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 The Constant Mean Curvature Einstein flow and the Bel-Robinson energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Constant Mean Curvature Einstein flow and the Bel-Robinson energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415383