Local canonical foliations of Lorentzian manifolds with bounded curvature

Details Local canonical foliations of Lorentzian manifolds with bounded curvature Local canonical foliations of Lorentzian manifolds with bounded curvature

2008-12-20

arxiv.org/abs/0812.3960v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages

Scientific paper

We consider pointed Lorentzian manifolds and construct "canonical" foliations by constant mean curvature (CMC) hypersurfaces. Our result assumes a uniform bound on the local sup-norm of the curvature of the manifold and on its local injectivity radius, only. The prescribed curvature problem under consideration is a nonlinear elliptic equation whose coefficients have limited regularity. The CMC foliation allows us to introduce CMC-harmonic coordinates, in which the coefficients of the Lorentzian metric have optimal regularity.

Affiliated with

Also associated with

No associations

Rating

Local canonical foliations of Lorentzian manifolds with bounded curvature 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 Local canonical foliations of Lorentzian manifolds with bounded curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local canonical foliations of Lorentzian manifolds with bounded curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103825