The Jang Equation Reduction of the Spacetime Positive Energy Theorem in Dimensions Less Than Eight

Open access
Author
Date
2013-05Type
- Journal Article
Abstract
We extend the Jang equation proof of the positive energy theorem due to Schoen and Yau (Commun Math Phys 79(2):231–260, 1981) from dimension n = 3 to dimensions 3 ≤ n < 8. This requires us to address several technical difficulties that are not present when n = 3. The regularity and decay assumptions for the initial data sets to which our argument applies are weaker than those in Schoen and Yau (Commun Math Phys 79(2):231–260, 1981). Show more
Permanent link
https://doi.org/10.3929/ethz-b-000063357Publication status
publishedExternal links
Journal / series
Communications in Mathematical PhysicsVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03935 - Eichmair, Michael
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisherMore
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