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Accurate Evolution of Orbiting Binary Black Holes

General Relativity and Quantum Cosmology · Submitted 19 Dec 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv IDgr-qc/0512108 (version 1)
Pith IDB4CRPJPE, Pith's permanent record of this paper and its review
CitationDenis Pollney, Edward Seidel, Erik Schnetter, Frank Herrmann, Jason Ventrella, Jonathan Thornburg, Peter Diener, Ryoji Takahashi. "Accurate Evolution of Orbiting Binary Black Holes." arXiv:gr-qc/0512108 (2005). https://pith.science/paper/B4CRPJPE
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,181 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.73 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.67 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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 Bruegmann (Phys. Rev. Lett. 92, 211101). For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately $59 M_{ADM}$.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. contribution 0.93 0.96 0.74 asserted 1.00
s1 The gauge choice can significantly affect the overall accuracy of the evolution. background 0.42 0.46 0.07 asserted 0.73
s2 It is possible to reconcile certain gauge dependent discrepancies by examining the convergence limit. interpretation 0.74 0.53 0.09 hedged possibility 1.00
s3 We illustrate these results using an initial data set recently evolved by Bruegmann (Phys. Rev. Lett. 92, 211101). method 0.92 0.24 0.03 asserted 1.00
s4 For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately $59 M_{ADM}$. result 1.00 0.92 0.19 asserted 0.68

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 0.87.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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 Bruegmann (Phys. Rev. Lett. 92, 211101). For our highest resolution and most accurate gauge, we estimate the duration of this data set's last orbit to be approximately $59 M_{ADM}$.

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References
How the literature uses it

3 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Cites it as background 1 paper
  • Now, it is feasible to perform a longterm simulation for merger of binary black holes or for high-velocity collision of two black holes, which is one of the strongest gravitational phenomena in nature (see Refs. [ref] for pioneer works of binary black hole merger).

    Higher-dimensional numerical relativity: Formulation and code tests · Introduction · 0.91

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