Positive mass theorems for high-dimensional spacetimes with black holes

DOI10.1007/s11425-011-4198-5zbMath1241.53042OpenAlexW2071697388MaRDI QIDQ763630

Lu Ding, Xu Xu

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4198-5

zbMATH Keywords

modified positive mass theorempositive mass theorem in higher dimensionsspace-times with black holes

Mathematics Subject Classification ID

Black holes (83C57) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (2)

Symmetries and solutions to geometrical flows ⋮ The positive energy theorem for asymptotically anti-de Sitter spacetimes

Cites Work

• On Witten's proof of the positive energy theorem
• Gauge choice in Witten's energy expression
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• The positive mass theorem for black holes revisited
• A new proof of the positive energy theorem.
• The energy and the linear momentum of space-times in general relativity
• Coordinate Invariance and Energy Expressions in General Relativity
• Positive mass theorems for higher dimensional Lorentzian manifolds
• The mass of an asymptotically flat manifold
• Positive mass conjecture for five-dimensional Lorentzian manifolds
• Boundary value problems for Dirac-type equations
• The Large Scale Structure of Space-Time
• Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds

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