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January 2014 Uniqueness of the AdS spacetime among static vacua with prescribed null infinity
Oussama Hijazi, Sebastián Montiel
Adv. Theor. Math. Phys. 18(1): 177-203 (January 2014).

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.

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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.

Information

Published: January 2014
First available in Project Euclid: 10 October 2014

zbMATH: 1309.83014
MathSciNet: MR3268236

Rights: Copyright © 2014 International Press of Boston

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Vol.18 • No. 1 • January 2014
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