# The hyperbolic positive energy theorem

Author(s)
Piotr T. Chrusciel, Erwann Delay
Abstract

We show that the causal-future-directed character of the energy-momentum vector of \$n\$-dimensional asymptotically hyperbolic Riemannian manifolds with spherical conformal infinity, \$n\ge 3\$, can be traced back to that of asymptotically Euclidean general-relativistic initial data sets satisfying the dominant energy condition.

Organisation(s)
Gravitational Physics
External organisation(s)
Avignon Université, Lab Math Avignon
Publication date
01-2019
Austrian Fields of Science 2012
101006 Differential geometry
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-hyperbolic-positive-energy-theorem(09e5a380-23f8-49f9-8d42-e21e7a9051b5).html