Positive Mass Theorem on manifolds admitting corners along a hypersurface

Research output: Contribution to journalArticle

80 Scopus citations

Abstract

We study a class of non-smooth asymptotically flat manifolds on which metrics fail to be C1 across a hypersurface Σ. We first give an approximation scheme to mollify the metric, then we show that the Positive Mass Theorem [8] still holds on these manifolds if a geometric boundary condition is satisfied by metrics separated by Σ.

Original languageEnglish (US)
Pages (from-to)1163-1182
Number of pages20
JournalAdvances in Theoretical and Mathematical Physics
Volume6
Issue number6
DOIs
StatePublished - Nov 2002
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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