On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds

Author: 

Chrusciel, P
Galloway, G
Nguyen, L
Paetz, T

Publication Date: 

7 June 2018

Journal: 

CLASSICAL AND QUANTUM GRAVITY

Last Updated: 

2019-08-18T08:15:13.603+01:00

Issue: 

11

Volume: 

35

DOI: 

10.1088/1361-6382/aabed1

abstract: 

© 2018 IOP Publishing Ltd. We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions 4 ≤n ≤7. The result is established by first proving deformation-of-mass-aspect theorems in dimensions n ≥ 4. Our positivity results extend to the case n = 3 when more stringent conditions are imposed.

Symplectic id: 

835736

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article