Accurate evolution of orbiting binary black holes

Peter Diener; Frank Herrmann; Denis Pollney; Erik Schnetter; Edward Seidel; Ryoji Takahashi; Jonathan Thornburg; Jason Ventrella

doi:10.1103/PhysRevLett.96.121101

Accurate evolution of orbiting binary black holes

Peter Diener, Frank Herrmann, Denis Pollney, Erik Schnetter, Edward Seidel, Ryoji Takahashi, Jonathan Thornburg, Jason Ventrella

Research output: Contribution to journal › Article › peer-review

Abstract

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)PRLTAO0031-900710.1103/PhysRevLett.92.211101]. For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately 59MADM.

Original language	English (US)
Article number	121101
Journal	Physical review letters
Volume	96
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevLett.96.121101
State	Published - 2006
Externally published	Yes

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General Physics and Astronomy

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10.1103/PhysRevLett.96.121101

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abstract = "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 Br{\"u}gmann et al. [Phys. Rev. Lett. 92, 211101 (2004)PRLTAO0031-900710.1103/PhysRevLett.92.211101]. For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately 59MADM.",

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AU - Diener, Peter

AU - Herrmann, Frank

AU - Pollney, Denis

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AU - Seidel, Edward

AU - Takahashi, Ryoji

AU - Thornburg, Jonathan

AU - Ventrella, Jason

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AB - 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)PRLTAO0031-900710.1103/PhysRevLett.92.211101]. For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately 59MADM.

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Accurate evolution of orbiting binary black holes

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