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Regularity for Lorentz Metrics under Curvature Bounds

Michael T. Anderson
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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.

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Michael T. Anderson. 2002-09-20. Regularity for Lorentz Metrics under Curvature Bounds. https://doi.org/10.1063/1.1580199

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