paper

Geometry and Regularity of Moving Punctures

arXiv:gr-qc/0606099 · doi:10.1103/PhysRevLett.99.241102

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.

4 pages, 2 figures. Replaced with version that matches the one published in PRL: one extra figure, and modified abstract and introduction

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