Quasi-local mass via isometric embeddings: A review from a geometric perspective

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2 Scopus citations

Abstract

In this paper, we review geometric aspects of quasi-local energies proposed by Brown-York, Liu-Yau, and Wang-Yau. These quasi-local energy functions, having the important positivity property, share a common feature that they are defined via the canonical Hamiltonian approach, and therefore an isometric embedding of the two-surface into a background space is used as a reference.

Original languageEnglish (US)
Article number233001
JournalClassical and Quantum Gravity
Volume32
Issue number23
DOIs
StatePublished - Nov 18 2015

Keywords

  • isometric embedding
  • quasi-local mass
  • scalar curvature

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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