Initial Data Rigidity Results.

Commun Math Phys

Instituto de Matemática, Universidade Federal de Alagoas, Maceió, AL Brazil.

Published: February 2021

We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550767PMC
http://dx.doi.org/10.1007/s00220-021-04033-xDOI Listing

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