Abstract
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 and by Chruściel-Herzlich and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities.
Citation
Oussama Hijazi. Sebastián Montiel. "Uniqueness of the AdS spacetime among static vacua with prescribed null infinity." Adv. Theor. Math. Phys. 18 (1) 177 - 203, January 2014.
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