Curvature Estimates in Asymptotically Flat Lorentzian Manifolds
Differential Geometry
2014-01-28 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.math/0306159,
title = {Curvature Estimates in Asymptotically Flat Lorentzian Manifolds},
author = {Felix Finster and Margarita Kraus},
journal= {arXiv preprint arXiv:math/0306159},
year = {2014}
}
Comments
15 pages (published version)