2015/07/31 by Michael T. Anderson, Michael T Anderson · 2 citations
Mathematics · Physics and Astronomy · #Conjecture #Constant (computer programming) #Constant curvature #Cosmological constant #Curvature #Einstein #Einstein equations #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mean curvature #Metric (unit) #Nonlinear Partial Differential Equations #gr-qc #math.DG
paper · pdf · doi:10.1088/0264-9381/33/1/015001
published in Classical and Quantum Gravity 33(1), 015001 (IOP Publishing) · Substantial simplification of proof of main theorem. To appear in Class. Quantum Gravity
arxiv created 2015/10/30 · openalex publication_date 2015/12/09 · arxiv updated 2015/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We prove that given any smooth metric and smooth positive function H on there is a constant depending on and an asymptotically flat solution of the static vacuum Einstein equations on such that the induced metric and mean curvature of at are given by This gives a partial resolution of the conjecture of Bartnik.