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arXiv · gr-qc/0606099

Geometry and Regularity of Moving Punctures

Mark Hannam·Sascha Husa·Denis Pollney·Bernd Bruegmann·Niall O'Murchadha
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Abstract

Significant advances in numerical simulations of black-hole binaries have recently been achieved using the puncture method. We examine how and why this method works by evolving a single black hole. The coordinate singularity and hence the geometry at the puncture are found to change during evolution, from representing an asymptotically flat end to being a cylinder. We construct an analytic solution for the stationary state of a black hole in spherical symmetry that matches the numerical result and demonstrates that the evolution is not dominated by artefacts at the puncture but indeed finds the analytical result.

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Mark Hannam, Sascha Husa, Denis Pollney, Bernd Bruegmann, Niall O'Murchadha. 2008-01-07. Geometry and Regularity of Moving Punctures. https://doi.org/10.1103/physrevlett.99.241102

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