Geometry and Regularity of Moving Punctures
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.
Cite
@article{arxiv.gr-qc/0606099,
title = {Geometry and Regularity of Moving Punctures},
author = {Mark Hannam and Sascha Husa and Denis Pollney and Bernd Bruegmann and Niall O'Murchadha},
journal= {arXiv preprint arXiv:gr-qc/0606099},
year = {2008}
}
Comments
4 pages, 2 figures. Replaced with version that matches the one published in PRL: one extra figure, and modified abstract and introduction