BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

On foliations related to the Center of mass in General Relativity Cortier, Julien


There are various ways to assign a Center of mass to an asymptotically Euclidean initial data set with non-zero mass. One relies on a Hamiltonian approach while another way relies on properties of foliations of the asymptotic region by surfaces having constant mean curvature. In this talk, I will first review existing results based on such foliations and the associated Center of mass. I will then describe a recent joint work with C. Cederbaum and A. Sakovich where we extend these results to another foliation giving convergence of the Center of mass for more general situations.

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