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arXiv · 1706.03732

Equality in the Spacetime Positive Mass Theorem

Lan-Hsuan Huang·Dan A. Lee
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Abstract

We affirm the rigidity conjecture of the spacetime positive mass theorem in dimensions less than eight. Namely, if an asymptotically flat initial data set satisfies the dominant energy condition and has $E=|P|$, then $E=|P|=0$, where $(E, P)$ is the ADM energy-momentum vector. The dimensional restriction can be removed if we assume the positive mass inequality holds. Previously the result was only known for spin manifolds.

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Lan-Hsuan Huang, Dan A. Lee. 2017-06-12. Equality in the Spacetime Positive Mass Theorem. https://doi.org/10.1007/s00220-019-03619-w

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