Advances in Theoretical and Mathematical Physics

Uniqueness of the AdS spacetime among static vacua with prescribed null infinity

Oussama Hijazi and Sebastián Montiel

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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.

Article information

Source
Adv. Theor. Math. Phys., Volume 18, Number 1 (2014), 177-203.

Dates
First available in Project Euclid: 10 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1412953900

Mathematical Reviews number (MathSciNet)
MR3268236

Zentralblatt MATH identifier
1309.83014

Citation

Hijazi, Oussama; Montiel, Sebastián. Uniqueness of the AdS spacetime among static vacua with prescribed null infinity. Adv. Theor. Math. Phys. 18 (2014), no. 1, 177--203. https://projecteuclid.org/euclid.atmp/1412953900


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