Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds

DOI10.4310/CAG.2000.v8.n3.a8zbMath0982.53063MaRDI QIDQ5929587

Xiao Zhang

Publication date: 5 April 2001

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

asymptotically flatEinstein equationsenergy-momentum tensorLorentzian manifoldpositive mass theoremspacelike hypersurface

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (6)

Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field ⋮ The Dirac-Witten operator on pseudo-Riemannian manifolds ⋮ Positive mass theorems for higher dimensional Lorentzian manifolds ⋮ Positive mass theorems for high-dimensional spacetimes with black holes ⋮ Lower bounds for the eigenvalues of the spin\(^{c}\) Dirac-Witten operator ⋮ Lower bounds for eigenvalues of the Dirac-Witten operator

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