The positive energy theorem for asymptotically anti-de Sitter spacetimes

DOI10.1142/S0219199715500157zbMath1338.53074arXiv1207.2914MaRDI QIDQ5264566

Xiao Zhang, Naqing Xie, Yaohua Wang

Publication date: 27 July 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2914

zbMATH Keywords

anti-de Sitter spacetimecosmological constantpositive energy theorem

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Spin and Spin({}^c) geometry (53C27)

Related Items (7)

A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Static potentials on asymptotically hyperbolic manifolds ⋮ Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes ⋮ Metrics of Eguchi-Hanson types with the negative constant scalar curvature ⋮ The rest mass of an asymptotically anti-de Sitter spacetime ⋮ Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature

Cites Work

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• The mass of an asymptotically flat manifold
• Boundary value problems for Dirac-type equations

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