# The spacetime positive mass theorem in dimensions less than eight

```@article{Eichmair2011TheSP,
title={The spacetime positive mass theorem in dimensions less than eight},
author={M. Eichmair and Lan-Hsuan Huang and Dan A. Lee and R. Schoen},
journal={arXiv: Differential Geometry},
year={2011}
}```
We prove the spacetime positive mass theorem in dimensions less than eight. This theorem states that for any asymptotically flat initial data set satisfying the dominant energy condition, the ADM energy-momentum vector \$(E,P)\$ of the initial data satisfies the inequality \$E \ge |P|\$. Previously, this theorem was proven only for spin manifolds by E. Witten. Our proof is a modification of the minimal hypersurface technique that was used by the last named author and S.-T. Yau to establish the time… Expand

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