2009/06/08 by Mu-Tao Wang, Mu‐Tao Wang, Shing-Tung Yau +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Infinity #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Physics #Quantum mechanics #Schwarzschild radius #Space (punctuation) #Spacetime #gr-qc #math-ph #math.DG #math.MP
paper · pdf · doi:10.1007/s00220-010-0990-2
16 pages, a new section ``Review of the definition of quasilocal energy" is added. Typos corrected
arxiv created 2009/06/08 · openalex publication_date 2010/02/03 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the limit of quasilocal mass defined in [4] and [5] for a family of spacelike 2-surfaces in spacetime. In particular, we show the limit coincides with the ADM mass at spatial infinity. The limit for coordinate spheres of a boosted slice of the Schwarzchild solution is computed explicitly and shown to give the expected energy-momentum four vector.