Quasi-local energy with respect to a static spacetime

被引：0

作者：

Chen, Po-Ning ^{[1
]}

Wang, Mu-Tao ^{[2
]}

Wang, Ye-Kai ^{[3
]}

Yau, Shing-Tung ^{[4
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

[2] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

[3] Natl Cheng Kung Univ, Dept Math, 1 Dasyue Rd, Tainan 70101, Taiwan

[4] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2018年 / 22卷 / 01期

基金：

美国国家科学基金会;

关键词：

INITIAL DATA SETS; CONSERVED QUANTITIES; GENERAL-RELATIVITY; MANIFOLDS; PROOF;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [7, 9, 19, 20] and define the quasi-local energy as a difference of surface Hamiltonians, which are derived from the Einstein-Hilbert action. The new quasi-local energy provides an effective gauge independent measurement of how far a spacetime deviates away from the reference static spacetime on a finitely extended region.

引用

页码：1 / 23

页数：23

共 50 条

[21] Quasi-local energy in presence of gravitational radiation
Chen, Po-Ning
Wang, Mu-Tao
Yau, Shing-Tung
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2016, 25 (13):
[22] Quasi-local energy for spherically symmetric spacetimes
Ming-Fan Wu
Chiang-Mei Chen
Jian-Liang Liu
James M. Nester
General Relativity and Gravitation, 2012, 44 : 2401 - 2417
[23] Quasi-local energy from a Minkowski reference
Chiang-Mei Chen
Jian-Liang Liu
James M. Nester
General Relativity and Gravitation, 2018, 50
[24] QUASI-LOCAL MASS CONSTRUCTIONS WITH POSITIVE ENERGY
DOUGAN, AJ
MASON, LJ
PHYSICAL REVIEW LETTERS, 1991, 67 (16) : 2119 - 2122
[25] SPINORS AND THE REFERENCE POINT OF QUASI-LOCAL ENERGY
LAU, SR
CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (04) : 1063 - 1079
[26] On a quasi-local mass
Zhang, Xiao
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (24)
[27] Minimizing Properties of Critical Points of Quasi-Local Energy
Po-Ning Chen
Mu-Tao Wang
Shing-Tung Yau
Communications in Mathematical Physics, 2014, 329 : 919 - 935
[28] Critical Points of Wang–Yau Quasi-Local Energy
Pengzi Miao
Luen-Fai Tam
Naqing Xie
Annales Henri Poincaré, 2011, 12 : 987 - 1017
[29] Quasi-local energy and Oppenheimer-Snyder collapse*
He, Xiaokai
Xie, Naqing
CLASSICAL AND QUANTUM GRAVITY, 2020, 37 (18)
[30] Weighing the black hole via quasi-local energy
Ha, Yuan K.
MODERN PHYSICS LETTERS A, 2017, 32 (24)

← 1 2 3 4 5 →