Abstract
The time-asymmetric initial value problem for N-body systems consisting of N black holes is described. The spacelike initial hypersurface is taken to be the Einstein-Rosen manifold with N bridges. An explicit procedure using an infinite series is developed to construct solutions of the momentum constraints on the Einstein-Rosen manifold. A sufficient condition for the absolute convergence of a wide range of these solutions is presented. In particular, the solution representing N black holes with arbitrary spins and momenta is discussed. The formulation of the Hamiltonian constraint as a boundary value problem is outlined.
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Kulkarni, A.D. (1984). Time-asymmetric initial data for n black holes. In: Flaherty, F.J. (eds) Asymptotic Behavior of Mass and Spacetime Geometry. Lecture Notes in Physics, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0048074
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DOI: https://doi.org/10.1007/BFb0048074
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