A tilted spacetime positive mass theorem

Xiaoxiang Chai (POSTECH)

A tilted spacetime positive mass theorem

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arxiv 2304.05208 v1 pith:OHKM4OKI submitted 2023-04-11 math.DG gr-qc

Xiaoxiang Chai (POSTECH) This is my paper · ORCID

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keywords massboundarypositivespacetimetheoremasymptoticallyconditiondata

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We show a spacetime positive mass theorem for asymptotically flat initial data sets with a noncompact boundary. We develop a mass type invariant and a boundary dominant energy condition. Our proof is based on spinors.

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Marginally outer trap surface with capillary boundary and rigidity of initial data sets
math.DG 2025-07 reject novelty 6.0 of 10

For stable MOTS with capillary boundary, equality in the area estimate forces the contact angle to 90 degrees and the ambient initial data set to split as a product, under stated energy assumptions.

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