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
SN - 1424-0637
VL - 12
SP - 987
EP - 1017
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 5
ER -