Some remarks on Wang–Yau quasi-local mass

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Classical and Quantum Gravity Pub Date : 2025-01-06 DOI:10.1088/1361-6382/ada1c1
Bowen Zhao, Lars Andersson and Shing-Tung Yau
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Abstract

We review the definition of Wang–Yau quasi-local mass from the point of view of the gravitational Hamiltonian. This makes clear the relation between Wang–Yau definition and Brown–York or even global ADM definition. We make a brief comment on admissibility condition in the definition of the Wang–Yau quasi-lcoal mass. We extend the positivity proof for Wang–Yau quasi-local energy to allow possible presence of strictly stable apparent horizons through establishing solvability of Dirac equation in certain 3-manifolds that possess cylindrical ends, as in the case of Jang graph blowing up at marginally outer trapped surfaces.
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从引力哈密顿量的角度对Wang-Yau准局部质量的定义进行了评述。这就明确了Wang-Yau定义与Brown-York甚至全球ADM定义的关系。对王游准煤体定义中的容许条件作了简要评述。我们通过建立具有圆柱形末端的3-流形中Dirac方程的可解性,扩展了Wang-Yau准局部能的正性证明,以允许严格稳定视界的可能存在,如Jang图在边缘外困面爆炸的情况。
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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