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• W4223558720 abstract "We refine the Lyapunov-Schmidt analysis developed in our recent paper arxiv:2101.12665 to study the geometric center of mass of the asymptotic foliation by area-constrained Willmore surfaces of initial data for the Einstein field equations. If the scalar curvature of the initial data vanishes at infinity, we show that this geometric center of mass agrees with the Hamiltonian center of mass. By contrast, we show that the position of large area-constrained Willmore surfaces is sensitive to the distribution of the energy density. In particular, the geometric center of mass may differ from the Hamiltonian center of mass if the scalar curvature does not satisfy asymptotic symmetry assumptions." @default.
• W4223558720 created "2022-04-15" @default.
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• W4223558720 date "2022-04-08" @default.
• W4223558720 modified "2023-09-26" @default.
• W4223558720 title "The Willmore Center of Mass of Initial Data Sets" @default.
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• W4223558720 doi "https://doi.org/10.1007/s00220-022-04349-2" @default.
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