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The hyperbolic positive energy theorem (1901.05263v2)

Published 16 Jan 2019 in math.DG and gr-qc

Abstract: We show that the causal-future-directed character of the energy-momentum vector of $n$-dimensional asymptotically hyperbolic Riemannian manifolds with spherical conformal infinity, $n\ge 3$, can be traced back to that of asymptotically Euclidean general-relativistic initial data sets satisfying the dominant energy condition.

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