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Hannam, Mark; Husa, Sascha; Pollney, Denis; Brügmann, Bernd; Murchadha, Niall O
Physical review letters, 12/2007, Letnik: 99, Številka: 24Journal Article
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.
