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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
56/2003

Curvature Estimates in Asymptotically Flat Lorentzian Manifolds

Felix Finster and Margarita Kraus

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 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 ADM energy tends to zero.

Received:
Jul 4, 2003
Published:
Jul 4, 2003

Related publications

Preprint
2003 Repository Open Access
Felix Finster and Margarita Kraus

Curvature estimates in asymptotically flat Lorentzian manifolds