CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Curvature Estimates in Asymptotically Flat Lorentzian Manifolds

  Published:2005-08-01
 Printed: Aug 2005
  • Felix Finster
  • Margarita Kraus
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

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.
MSC Classifications: 53C21, 53C27, 83C57 show english descriptions Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
Spin and Spin$^c$ geometry
Black holes
53C21 - Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
53C27 - Spin and Spin$^c$ geometry
83C57 - Black holes
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/