Some Remarks on Wang-Yau Quasi-Local Mass
- Resource Type
- Working Paper
- Authors
- Zhao, Bowen; Andersson, Lars; Yau, Shing-Tung
- Source
- Subject
- General Relativity and Quantum Cosmology
Mathematical Physics
- Language
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.