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On mass-minimizing extensions of Bartnik boundary data (2007.05452v2)
Published 10 Jul 2020 in math.DG, gr-qc, and math.AP
Abstract: We prove that the space of initial data sets which have fixed Bartnik boundary data and solve the constraint equations is a Banach manifold. Moreover, on this constraint manifold the critical points of the ADM mass are exactly the initial data sets which admit generalised Killing vector fields with asymptotic limit proportional to the ADM energy-momentum vector.
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