Positive Energy-Momentum Theorem for AdS-Asymptotically Hyperbolic Manifolds |
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Authors: | Daniel Maerten |
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Institution: | (1) Institut de Mathématiques et de Modélisation de Montpellier (I3M), Université Montpellier II, UMR 5149 CNRS, Place Eugène Bataillon, F-34095 Montpellier, France |
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Abstract: | The aim of this paper is to prove a positive energy-momentum theorem under the (well known in general relativity) dominant
energy condition, for AdS-asymptotically hyperbolic manifolds. These manifolds are by definition endowed with a Riemannian
metric and a symmetric 2-tensor which respectively tend to the metric and second fundamental form of a standard hyperbolic
slice in Anti-de Sitter space-time. There exists a positive mass theorem for asymptotically hyperbolic spin Riemannian manifolds
(with zero extrinsic curvature), and we present an extension of this result for the non zero extrinsic curvature case.
Communicated by Sergiu Klainerman
Submitted: January 15, 2006 Accepted: January 15, 2006 |
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Keywords: | |
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