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A catalog of 174 binary black-hole simulations for gravitational-wave astronomy (1304.6077v3)

Published 22 Apr 2013 in gr-qc

Abstract: This paper presents a publicly available catalog of 174 numerical binary black-hole simulations following up to 35 orbits. The catalog includes 91 precessing binaries, mass ratios up to 8:1, orbital eccentricities from a few percent to $10{-5}$, black-hole spins up to 98% of the theoretical maximum, and radiated energies up to 11.1% of the initial mass. We establish remarkably good agreement with post-Newtonian precession of orbital and spin directions for two new precessing simulations, and we discuss other applications of this catalog. Formidable challenges remain: e.g., precession complicates the connection of numerical and approximate analytical waveforms, and vast regions of the parameter space remain unexplored.

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Summary

A Catalog of Binary Black-Hole Simulations for Gravitational-Wave Astronomy

The paper discussed here presents a comprehensive catalog of 174 binary black-hole (BBH) simulations designed for gravitational-wave (GW) astronomy. This collection of simulations is notably expansive, providing a publicly accessible dataset aimed at supporting the scientific investigation and utilization of GW detectors like Advanced LIGO and Virgo. The catalog's contents extend across a variety of initial conditions, including distinguishing orbital parameters and spins, to yield a comprehensive resource for theoretical and data-analysis applications.

Key Simulation Details

The catalog features simulations that track binaries for up to 35 orbits, covering mass ratios as disparate as 8:1. It includes instances of high precession and spins reaching up to 98% of black holes' theoretical maxima, with radiated energy reaching 11.1% of the initial system mass—an unprecedented metric in BBH studies. Furthermore, the catalog notes significant consistencies with post-Newtonian (PN) approximations, especially in terms of orbital and spin precessions, underlining its utility for cross-validation efforts between numerical simulations and analytical models.

Technical and Analytical Implications

This catalog represents an essential tool for gravitational-wave astronomy. Its impact extends through multiple dimensions:

  1. Precession and Nutation Studies: The dataset offers simulations suitable for testing the accuracy of post-Newtonian predictions concerning spin and orbital angular momenta precession. The rigorous comparisons between PN constructs and numerical relativity calculations enhance the framework for analyzing binary dynamics in relativistic contexts.
  2. Waveform Model Development: The extensive numerical data can refine pre-existing waveform models, enabling enhanced predictions of inspiral, merger, and ringdown phases. Models can utilize details, such as the recorded radiative energy discrepancies, to improve the completeness and fidelity of simulated GW signals.
  3. Parameter Estimation Accuracy: The enhanced catalog supports improved detection and parameter estimation protocols by providing longer and more diverse simulations, addressing current shortcomings in waveform models largely built on less comprehensive datasets.
  4. Independent Validation: By facilitating independent studies of analytical waveform models, the simulations allow researchers to ascertain the models' robustness across a broader parameter space, enabling better calibration and validation processes.

Challenges and Future Directions

While the paper contributes immensely to GW physics, challenges remain. Notably, the creation of hybrid waveform models that connect long-duration numerical waveforms with PN models remains complex due to difficulties in seamlessly aligning precessing frames. Furthermore, significant swathes of parameter space, particularly concerning high mass ratios and extreme spin configurations, require further exploration to expand the catalog's applicability.

Moreover, advancements in simulation techniques are imperative to increase the potential for seamless hybrid constructions and improve resolution details where adaptive mesh refinement complicates direct accuracy assessments.

Conclusion

In summary, the BBH simulation catalog provides a formidable contribution to the field of GW astronomy, presenting a rich dataset with broad applicability. It offers both theoretical rigor and practical resources necessary for advancing our understanding of binary black-hole systems under the Einstein field equations. Further work should focus on expanding parameter exploration and advancing simulation fidelity to continue augmenting the toolset available to gravitational-wave researchers.