Uniqueness of the AdS Spacetime among Static Vacua with prescribed Null infinity
Differential Geometry
2012-11-27 v1
Abstract
We prove that an -dimensional spin static vacuum with negative cosmological constant whose null infinity has a boundary admitting a non-trivial Killing spinor field is the AdS spacetime. As a consequence, we generalize previous uniqueness results by X. Wang \cite{Wa2} and by Chru{\'s}ciel-Herzlich \cite{CH} and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities.
Keywords
Cite
@article{arxiv.1211.5651,
title = {Uniqueness of the AdS Spacetime among Static Vacua with prescribed Null infinity},
author = {Oussama Hijazi and Sebastián Montiel},
journal= {arXiv preprint arXiv:1211.5651},
year = {2012}
}