Regularity for Lorentz Metrics under Curvature Bounds
General Relativity and Quantum Cosmology
2015-06-25 v1 Differential Geometry
Abstract
Let (M, g) be an (n+1) dimensional space-time, with bounded curvature with respect to a bounded framing. If (M, g) is vacuum or satisfies a mild condition on the stress-energy tensor, then we show that (M, g) locally admits coordinate systems in which the Lorentz metric is well-controlled in the (space-time) Sobolev space L^{2,p}, for any finite p.
Cite
@article{arxiv.gr-qc/0209073,
title = {Regularity for Lorentz Metrics under Curvature Bounds},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:gr-qc/0209073},
year = {2015}
}
Comments
18pp