Center of mass and constant mean curvature foliations in general relativity

Center of mass and constant mean curvature foliations in general relativity

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Lan-Hsuan Huang, Columbia University
Fine Hall 314

We will discuss the existence and uniqueness of the foliation by stable spheres with constant mean curvature for asymptotically flat manifolds satisfying the Regge-Teitelboim condition at infinity. We will first introduce the background and then discuss how the foliation relates to the concept of center of mass in general relativity.