2024/02/29 by Bowen Zhao, Lars Andersson, Zhao, Bowen +3
Mathematics · Engineering · #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Geoscience and Mining Technology
paper · pdf · doi:10.48550/arxiv.2402.19310
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.