Two quasi-local masses evaluated on surfaces with boundary

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Abstract

We study Hawking mass and the Huisken's isoperimetric mass evaluated on surfaces with boundary. The convergence to an ADM mass defined on asymptotically flat manifold with a non-compact boundary are proved.

Topics & Keywords

Geometric Analysis and Curvature Flows Geometry and complex manifolds Black Holes and Theoretical Physics

UN Sustainable Development Goals

Sustainable cities and communities

Publication Details

Published in: arXiv (Cornell University)

DOI: 10.48550/arxiv.1811.06168