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Statistical constraints on binary black hole inspiral dynamics

Chad R. Galley, Frank Herrmann, John Silberholz, Manuel Tiglio, Gustavo Guerberoff
Department of Physics, Center for Fundamental Physics, Joint Space Institute. University of Maryland, College Park, MD 20742, USA
Classical and Quantum Gravity, Volume 27, Issue 24, pp. 245007 (2010)

@article{galley2010statistical,

   title={Statistical constraints on binary black hole inspiral dynamics},

   author={Galley, C.R. and Herrmann, F. and Silberholz, J. and Tiglio, M. and Guerberoff, G.},

   journal={Arxiv preprint arXiv:1005.5560},

   year={2010}

}

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We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal component analysis of spin and orbital angular momentum variables we systematically look for uncorrelated quantities and find three of them which are highly conserved in a statistical sense, both as functions of time and with respect to variations in initial spin orientations. We also look for and find the variables that account for the largest variations in the problem. We present binary black hole simulations of the full Einstein equations analyzing to what extent these results might carry over to the full theory in the inspiral and merger regimes. Among other applications these results should be useful both in semi-analytical and numerical building of templates of gravitational waves for gravitational wave detectors.
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