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Abstract: The most popular method to construct initial data for black-hole-binarysimulations is the puncture method, in which compactified wormholes are givenlinear and angular momentum via the Bowen-York extrinsic curvature. When thesedata are evolved, they quickly approach a ``trumpet- topology, suggesting thatit would be preferable to use data that are in trumpet form from the outset. Toachieve this, we extend the puncture method to allow the construction ofBowen-York trumpets, including an outline of an existence and uniqueness proofof the solutions. We construct boosted, spinning and binary Bowen-York puncturetrumpets using a single-domain pseudospectral elliptic solver, and evolve thebinary data and compare with standard wormhole-data results. We also show thatfor boosted trumpets the black-hole mass can be prescribed {\it a priori},without recourse to the iterative procedure that is necessary for wormholedata.



Author: Mark Hannam, Sascha Husa, Niall Ó Murchadha

Source: https://arxiv.org/







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