Regularity for Lorentz Metrics under Curvature Bounds

Details Regularity for Lorentz Metrics under Curvature Bounds Regularity for Lorentz Metrics under Curvature Bounds

2002-09-20

arxiv.org/abs/gr-qc/0209073v1

J.Math.Phys. 44 (2003) 2994-3012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18pp

Scientific paper

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.

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