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arXiv · 2402.19310

Some Remarks on Wang-Yau Quasi-Local Mass

Bowen Zhao·Lars Andersson·Shing-Tung Yau
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Abstract

We review Wang-Yau quasi-local definitions along the line of gravitational Hamiltonian. This makes clear the connection and difference between Wang-Yau definition and Brown-York or even global ADM definition. We make a brief comment on admissibility condition in 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's graph blowing up at marginally outer trapped surfaces.

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Bowen Zhao, Lars Andersson, Shing-Tung Yau. 2024-02-29. Some Remarks on Wang-Yau Quasi-Local Mass. https://doi.org/10.1088/1361-6382/ada1c1

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