The Brown-York mass of revolution surface in asymptotically Schwarzschild manifold

2009/10/19 by Xu-Qian Fan, Fan, Xu-Qian, Kwok‐Kun Kwong +1
Mathematics · Physics and Astronomy · #53C20 #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.0910.3514

openalex publication_date 2009/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will show that the limit of the Brown-York mass of a family of convex revolution surfaces in an asymptotically Schwarzschild manifold is the ADM mass.

Citations

• On the proof of the positive mass conjecture in general relativity

Related

• A property of the Brown-York mass in Schwarzschild manifolds
• Large-sphere and small-sphere limits of the Brown-York mass
• Some lower estimates of ADM mass and Brown-York mass
• Mass of asymptotically flat 3-manifolds with boundary
• Compact approach to the positivity of Brown-York mass and rigidity of manifolds with mean-convex boundaries in flat and spherical contexts