Advances in Theoretical and Mathematical Physics
Volume 18 (2014)
Uniqueness of the AdS spacetime among static vacua with prescribed null infinity
Pages: 177 – 203
We prove that an $(n + 1)$-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 [40, 42] and by Chruściel-Herzlich  and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities.