2003/03/31 by Chiu-Chu Melissa Liu, Shing-Tung Yau, Shing–Tung Yau · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #gr-qc #math.DG
paper · pdf · doi:10.1103/physrevlett.90.231102
published as Phys.Rev.Lett.90:231102,2003 · 4 pages; final published version
openalex publication_date 2003/06/10 · arxiv created 2003/06/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by the important work of Brown and York on quasilocal energy, we propose definitions of quasilocal energy and momentum surface energy of a spacelike 2-surface with a positive intrinsic curvature in a spacetime. We show that the quasilocal energy of the boundary of a compact spacelike hypersurface which satisfies the local energy condition is strictly positive unless the spacetime is flat along the spacelike hypersurface.