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Curvature Estimates in Asymptotically Flat Lorentzian Manifolds
Published online by Cambridge University Press: 20 November 2018
Abstract
We consider an asymptotically flat Lorentzian manifold of dimension (1, 3). An inequality is derived which bounds the Riemannian curvature tensor in terms of the $\text{ADM}$ energy in the general case with second fundamental form. The inequality quantifies in which sense the Lorentzian manifold becomes flat in the limit when the $\text{ADM}$ energy tends to zero.
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- Copyright © Canadian Mathematical Society 2005
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