TY - JOUR
T1 - Quasi-local mass via isometric embeddings
T2 - A review from a geometric perspective
AU - Miao, Pengzi
N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/11/18
Y1 - 2015/11/18
N2 - 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.
AB - 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.
KW - isometric embedding
KW - quasi-local mass
KW - scalar curvature
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U2 - 10.1088/0264-9381/32/23/233001
DO - 10.1088/0264-9381/32/23/233001
M3 - Review article
AN - SCOPUS:84948142300
VL - 32
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 23
M1 - 233001
ER -