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

[31] A Quasi-Local Mass
Alaee, Aghil
Khuri, Marcus
Yau, Shing-Tung
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2024, 405 (05)
[32] Minimizing Properties of Critical Points of Quasi-Local Energy
Chen, Po-Ning
Wang, Mu-Tao
Yau, Shing-Tung
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 329 (03) : 919 - 935
[33] On Second Variation of Wang–Yau Quasi-Local Energy
Pengzi Miao
Luen-Fai Tam
Annales Henri Poincaré, 2014, 15 : 1367 - 1402
[34] ON THE QUASI-LOCAL ENERGY OF AXIALLY-SYMMETRICAL SPACETIMES
ZASLAVSKII, OB
CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (07) : L63 - L67
[35] QUASI-LOCAL ENERGY FOR A KERR BLACK-HOLE
MARTINEZ, EA
PHYSICAL REVIEW D, 1994, 50 (08) : 4920 - 4928
[36] CANONICAL VARIABLES AND QUASI-LOCAL ENERGY IN GENERAL-RELATIVITY
LAU, S
CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (11) : 2379 - 2399
[37] ON QUASI-LOCAL NOETHERIAN RINGS
MICHLER, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) : 222 - &
[38] Critical Points of Wang-Yau Quasi-Local Energy
Miao, Pengzi
Tam, Luen-Fai
Xie, Naqing
ANNALES HENRI POINCARE, 2011, 12 (05): : 987 - 1017
[39] On Second Variation of Wang-Yau Quasi-Local Energy
Miao, Pengzi
Tam, Luen-Fai
ANNALES HENRI POINCARE, 2014, 15 (07): : 1367 - 1402
[40] INTERSECTIONS OF QUASI-LOCAL DOMAINS
PREKOWITZ, B
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 181 (JUL) : 329 - 339

← 1 2 3 4 5 →