Citation:Hannam, M., Husa, S., Pollney, D., Brügmann, B. and Ó Murchadha, N. (2007) 'Geometry and regularity of moving punctures', Physical Review Letters, 99(24), 241102 (4pp). doi: 10.1103/PhysRevLett.99.241102
Significant advances in numerical simulations of Black holes 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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