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MiS Preprint
53/1998
Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds
Xiao Zhang
Abstract
We adapt Witten's method and the analytic arguments of Parker and Taubes to Spinc structures on orientable 4-dimensional manifolds. This yields a Positive Mass Theorem for spacelike hypersurfaces in 5-dimensional Lorentzian manifolds, which includes electromagnetic fields. We also prove an analogous one for 4-dimensional Lorentzian manifolds.