Positive mass theorems for higher dimensional Lorentzian manifolds
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Publication:3544617
DOI10.1063/1.2830803zbMath1153.81350OpenAlexW2005625659MaRDI QIDQ3544617
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2830803
Unified, higher-dimensional and super field theories (83E99) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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The spacetime positive mass theorem in dimensions less than eight ⋮ Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field ⋮ Equality in the spacetime positive mass theorem ⋮ The Dirac-Witten operator on pseudo-Riemannian manifolds ⋮ Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes ⋮ 4-Dimensional manifolds with nonnegative scalar curvature and CMC boundary ⋮ Positive mass theorems for high-dimensional spacetimes with black holes ⋮ Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations
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