Finster, Felix and Kraus, Margarita (2005) Curvature estimates in asymptotically flat Lorentzian manifolds. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 57 (4). pp. 708-723. ISSN 0008-414X,
Full text not available from this repository. (Request a copy)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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POSITIVE ENERGY THEOREM; GENERAL-RELATIVITY; PROOF; MASS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 May 2021 04:55 |
| Last Modified: | 03 May 2021 04:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35791 |
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