# On a spacetime positive mass theorem with corners

@inproceedings{Tsang2021OnAS, title={On a spacetime positive mass theorem with corners}, author={Tin-Yau Tsang}, year={2021} }

In this paper we consider the positive mass theorem for general initial data sets satisfying the dominant energy condition which are singular across a piecewise smooth surface. We find jump conditions on the metric and second fundamental form which are sufficient for the positivity of the total spacetime mass. Our method extends that of [30] to the singular case (which we refer to as initial data sets with corners) using some ideas from [31]. As such we give an integral lower bound on the…

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