The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting
arXiv:2003.07762 · doi:10.1007/s00220-021-04083-1
Abstract
We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.
68 pages. Accepted by Commun. Math. Phys
References in corpus (6)
- Isometric embeddings into the Minkowski space and new quasi-local mass
- Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
- The area of horizons and the trapped region
- The Higher Dimensional Positive Mass Theorem II
- Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
- Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant