Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass

JOURNAL OF GEOMETRY AND PHYSICS

卷:120

Article

Liu, Jian-Liang¹  Yu, Chengjie¹ 

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

关键词: Chen-Nester-Tung quasi-local energy;    Wang-Yau quasi-local mass;    Brown-York mass;    Mean curvature vector;   

DOI  :  10.1016/j.geomphys.2017.06.011

来源: Elsevier

【 摘 要 】

In this paper, we show that the Chen-Nester-Tung (CNT) quasi-local energy with 4D isometric matching references is closely related to the Wang Yau (WY) quasi-local energy. As a particular example, we compute the second variation of the CNT quasi-local energy for axially symmetric Kerr-like spacetimes with axially symmetric embeddings at the obvious critical point (0, 0) and find that it is a saddle critical point in most of the cases. Also, as a byproduct, we generalize a previous result about the coincidence of the CNT quasi-local energy and Brown York mass for axially symmetric Kerr-like spacetimes by Tam and the first author Liu and Tam (2016) to general spacetimes. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free