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arXiv · 0908.0337

Trumpet-puncture initial data for black holes

Jason D. Immerman·Thomas W. Baumgarte
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Abstract

We propose a new approach, based on the puncture method, to construct black hole initial data in the so-called trumpet geometry, i.e. on slices that asymptote to a limiting surface of non-zero areal radius. Our approach is easy to implement numerically and, at least for non-spinning black holes, does not require any internal boundary conditions. We present numerical results, obtained with a uniform-grid finite-difference code, for boosted black holes and binary black holes. We also comment on generalizations of this method for spinning black holes.

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Jason D. Immerman, Thomas W. Baumgarte. 2009-10-01. Trumpet-puncture initial data for black holes. https://doi.org/10.1103/physrevd.80.061501

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