Geometry and Regularity of Moving Punctures

Mark Hannam, Sascha Husa, Denis Pollney, Bernd Brügmann, and Niall Ó Murchadha
Phys. Rev. Lett. 99, 241102 – Published 12 December 2007

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.

  • Figure
  • Figure
  • Received 23 June 2006

DOI:https://doi.org/10.1103/PhysRevLett.99.241102

©2007 American Physical Society

Authors & Affiliations

Mark Hannam1, Sascha Husa1, Denis Pollney2, Bernd Brügmann1, and Niall Ó Murchadha3

  • 1Theoretical Physics Institute, University of Jena, 07743 Jena, Germany
  • 2Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany
  • 3Physics Department, University College Cork, Ireland

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Issue

Vol. 99, Iss. 24 — 14 December 2007

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