TY - JOUR

T1 - Critical points of Wang-Yau quasi-local energy

AU - Miao, Pengzi

AU - Tam, Luen-Fai

AU - Xie, Naqing

PY - 2011

Y1 - 2011

N2 - 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

AB - 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

UR - http://www.springerlink.com/content/g57175163m6306v0/fulltext.pdf

U2 - 10.1007/s00023-011-0097-0

DO - 10.1007/s00023-011-0097-0

M3 - Article

VL - 12

SP - 987

EP - 1017

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

IS - 5

ER -