On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
- Author(s)
- Piotr T. Chruściel, Gregory J. Galloway, Luc Nguyen, Tim-Torben Paetz
- Abstract
We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions $4\le n \le 7$. The result is established by first proving deformation-of-mass-aspect theorems in dimensions $n\ge 4$. Our positivity results extend to the case $n = 3$ when more stringent conditions are imposed.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- University of Miami, Erwin Schrödinger Institut, University of Oxford
- Journal
- Classical and Quantum Gravity
- Volume
- 35
- No. of pages
- 38
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/1361-6382/aabed1
- Publication date
- 05-2018
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101006 Differential geometry, 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/on-the-mass-aspect-function-and-positive-energy-theorems-for-asymptotically-hyperbolic-manifolds(cda088ec-625e-4fc6-9fda-530b6ef7670c).html