Hamiltonian dynamics in asymptotically Kerr spacetimes. Quasilocal mass in Kerr spacetime.

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Written by Tomasz Smolka

We present a variational formula which lead to the Hamiltonian dynamics in the space of general-relativistic initial data sets with asymptotically Kerr ends. In Kerr spacetime, we examine particular choice of surfaces: rigid spheres (with constant external curvature) and round spheres (with constant intrinsic two-dimensional curvature).