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Phys. Rev. Lett. 96, 121101 (2006) [4 pages]

Accurate Evolution of Orbiting Binary Black Holes

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Peter Diener1,2, Frank Herrmann3,4, Denis Pollney3, Erik Schnetter1,3, Edward Seidel1,2,3, Ryoji Takahashi1, Jonathan Thornburg3, and Jason Ventrella1
1Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA
2Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
3Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany
4Center for Gravitational Physics and Geometry, Penn State University, University Park, Pennsylvania 16802, USA

Received 21 December 2005; published 30 March 2006

We present a detailed analysis of binary black hole evolutions in the last orbit and demonstrate consistent and convergent results for the trajectories of the individual bodies. The gauge choice can significantly affect the overall accuracy of the evolution. It is possible to reconcile certain gauge-dependent discrepancies by examining the convergence limit. We illustrate these results using an initial data set recently evolved by Brügmann et al. [ Phys. Rev. Lett. 92 211101 (2004)]. For our highest resolution and most accurate gauge, we estimate the duration of this data set’s last orbit to be approximately 59MADM.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.121101
DOI:
10.1103/PhysRevLett.96.121101
PACS:
04.25.Dm, 04.30.Db, 04.70.Bw, 95.30.Sf
 
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