Black hole initial data on hyperboloidal slices

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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version for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.084024

We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several cases, including unequal mass binary black holes with spins and boosts. The singularity at null infinity in the Hamiltonian constraint associated with a constant mean curvature hypersurface does not pose any particular difficulties. The inner boundaries of our slices are minimal surfaces. Trumpet configurations are explored both analytically and numerically.

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