Critical points of Wang-Yau quasi-local energy

Pengzi Miao, Luen-Fai Tam, Naqing Xie

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In this paper, we prove the following theorem regarding the Wang-Yau quasi-local energy of a spacelike two-surface in a spacetime: Let Sigma be a boundary component of some compact, time-symmetric, spacelike hypersurface Omega in a time-oriented spacetime N satisfying the dominant energy condition. Suppose the induced metric on Sigma has positive Gaussian curvature and all boundary components of Omega have positive mean curvature. Suppose H
Original languageEnglish
Pages (from-to)987 - 1017
Number of pages31
JournalAnnales Henri Poincare
Issue number5
Publication statusPublished - 2011

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