Spacelike hypersurfaces with negative total energy in de Sitter spacetime

DOI10.1063/1.3682242zbMath1274.83028arXiv1105.1213OpenAlexW2086224664MaRDI QIDQ2861701

Xiao Zhang, Zhuobin Liang

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1213

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (3)

Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space ⋮ Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature ⋮ The positive energy theorem for asymptotically anti-de Sitter spacetimes

Cites Work

• Deformations of the hemisphere that increase scalar curvature
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• Stability of gravity with a cosmological constant
• A new proof of the positive energy theorem.
• A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3-manifolds. I
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Positive mass theorems for asymptotically de Sitter spacetimes
• The energy and the linear momentum of space-times in general relativity
• Positive energy-momentum theorem for AdS-asymptotically hyperbolic manifolds
• POSITIVE MASS THEOREMS FOR ASYMPTOTICALLY ADS SPACETIMES WITH ARBITRARY COSMOLOGICAL CONSTANT
• The mass of an asymptotically flat manifold
• The Large Scale Structure of Space-Time

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