Initial Data Rigidity Results

Michael Eichmair, Gregory J. Galloway, Abraão Mendes

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
JournalCommunications in Mathematical Physics
DOIs
StateAccepted/In press - 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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