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

[1] A QUASI-LOCAL PENROSE INEQUALITY FOR THE QUASI-LOCAL ENERGY WITH STATIC REFERENCES
Chen, Po-Ning
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (12) : 8611 - 8636
[2] Quasi-local holography and quasi-local mass of classical fields in Minkowski spacetime
Szabados, LB
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (05) : 855 - 878
[3] Wang and Yau's quasi-local energy for an extreme Kerr spacetime
Miller, Warner A.
Ray, Shannon
Wang, Mu-Tao
Yau, Shing-Tung
CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (05)
[4] Quasi-local mass in the covariant Newtonian spacetime
Wu, Yu-Huei
Wang, Chih-Hung
CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (13)
[5] QUASI-LOCAL GRAVITATIONAL ENERGY
HAYWARD, SA
PHYSICAL REVIEW D, 1994, 49 (02): : 831 - 839
[6] Quasi-local energy flux
Nester, James M.
Chen, Chiang-Mei
Tung, Roh-Suan
GRAVITATION AND ASTROPHYSICS: ON THE OCCASION OF THE 90TH YEAR OF GENERAL RELATIVITY, 2007, : 389 - 395
[7] Quasi-local energy and compactification
Alvarez, Enrique
Anero, Jesus
Milans del Bosch, Guillermo
Santos-Garcia, Raquel
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (06):
[8] QUASI-LOCAL ENERGY CONDITIONS
HAYWARD, G
PHYSICAL REVIEW D, 1995, 52 (04): : 2001 - 2006
[9] Quasi-local energy and compactification
Enrique Alvarez
Jesus Anero
Guillermo Milans del Bosch
Raquel Santos-Garcia
Journal of High Energy Physics, 2018
[10] Quasi-local mass on rigid or round spheres in Kerr spacetime
Jezierski, Jacek
Smolka, Tomasz
ANNALS OF PHYSICS, 2025, 473

← 1 2 3 4 5 →