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Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration

Hinder, I.Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck SocietyBuonanno, A.Maryland Center for Fundamental Physics and Joint Space-Science Institute, Department of Physics, University of Maryland, College Park, MD 20742, USABoyle, M.Center for Radiophysics and Space Research , Cornell University , Ithaca , NY 14853 , USAEtienne, Z., IrelandHealy, J.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430Johnson-McDaniel, N.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , 07743 Jena , GermanyNagar, A.Institut des Hautes Études Scientifiques , 91440 Bures-sur-Yvette , FranceNakano, H.Center for Computational Relativity and Gravitation , and School of Mathematical Sciences , Rochester Institute of Technology , 85 Lomb Memorial Drive , Rochester , NY 14623 , USAPan, Y.Maryland Center for Fundamental Physics and Joint Space-Science Institute , Department of Physics , University of Maryland , College Park , MD 20742 , USAPfeiffer, H.Canadian Institute for Advanced ResearchPürrer, M.School of Physics and Astronomy , Cardiff University , Queens Building , CF24 3AA , Cardiff , United KingdomReisswig, C.Max Planck Institute for Gravitational PhysicsScheel, M.Theoretical Astrophysics 350-17 , California Institute of Technology , Pasadena , CA 91125Schnetter, E.Department of Physics, University of Guelph, Guelph, ON N1G 2W1, CanadaSperhake, U.Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, CA 91125, USASzilagyi, B.Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck SocietyTichy, W.Department of Physics , Florida Atlantic University , Boca Raton , FL 33431 , USAWardell, B.School of Mathematical Sciences and Complex & Adaptive Systems Laboratory , University College Dublin , Belfield , DublinZenginoglu, A.Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, CA 91125, USAAlic, D.Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck SocietyBernuzzi, S.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , D-07743 Jena , GermanyBode, T.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430Brügmann, B.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , 07743 Jena , GermanyBuchman, L.Theoretical Astrophysics 350-17 , California Institute of Technology , Pasadena , CA 91125Campanelli, M.Center for Computational Relativity and Gravitation , and School of Mathematical Sciences , Rochester Institute of Technology , 85 Lomb Memorial Drive , Rochester , NY 14623 , USAChu, T.Theoretical Astrophysics 350-17 , California Institute of Technology , Pasadena , CA 91125 , USADamour, T.Institut des Hautes Études Scientifiques , 91440 Bures-sur-Yvette , FranceGrigsby, J.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , D-07743 Jena , GermanyHannam, M.School of Physics and Astronomy , Cardiff University , Queens Building , CF24 3AA , Cardiff , UKHaas, R.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430Hemberger, D.Theoretical Astrophysics 350-17 , California Institute of Technology , Pasadena , CA 91125 , USAHusa, S.Departament de Física , Universitat de les Illes Balears , Palma de Mallorca , E-07122 SpainKidder, L.Center for Radiophysics and Space Research , Cornell University , Ithaca , NY 14853 , USALaguna, P.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430London, L.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430Lovelace, G.Center for Radiophysics and Space Research, Cornell University, Ithaca, NY 14853, USALousto, C.Center for Computational Relativity and Gravitation , and School of Mathematical Sciences , Rochester Institute of Technology , 85 Lomb Memorial Drive , Rochester , NY 14623 , USAMarronetti, P.Department of Physics , Florida Atlantic University , Boca Raton , FL 33431 , USAMatzner, R.Center for Relativity , Department of Physics , The University of Texas at Austin , Austin , TX 78712Mösta, P.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, GermanyMroué, A.Canadian Institute for Theoretical Astrophysics , University of Toronto , Toronto , Ontario M5S 3H8 , CanadaMüller, D.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , 07743 Jena , GermanyMundim, B.Center for Computational Relativity and Gravitation , and School of Mathematical Sciences , Rochester Institute of Technology , 85 Lomb Memorial Drive , Rochester , NY 14623 , USANerozzi, A.CENTRA , Departamento de Física , Instituto Superior Técnico , Universidade Técnica de Lisboa-UTL , Av Rovisco Pais 1 , 1049 Lisboa , PortugalPaschalidis, V., IrelandPollney, D.Departament de Física , Universitat de les Illes Balears , Palma de Mallorca , E-07122 SpainReifenberger, G.Department of Physics , Florida Atlantic University , Boca Raton , FL 33431 , USARezzolla, L.Institut für Theoretische Physik, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, GermanyShapiro, S.Department of Astronomy and NCSA, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USAShoemaker, D.Center for Relativistic Astrophysics , School of Physics , Georgia Institute of Technology , Atlanta , GA 30332-0430Taracchini, A.Maryland Center for Fundamental Physics & Joint Space-Science Institute ,Taylor, N.Theoretical Astrophysics 350-17 , California Institute of Technology , Pasadena , CA 91125 , USATeukolsky, S.Center for Radiophysics and Space Research , Cornell University , Ithaca , New York 14853 , USAThierfelder, M.Theoretisch-Physikalisches Institut , Friedrich-Schiller-Universität , Max-Wien-Platz 1 , 07743 Jena , GermanyWitek, H.CENTRA , Departamento de Física , Instituto Superior Técnico , Universidade Técnica de Lisboa -UTL , Av. Rovisco Pais 1 , 1049 Lisboa , PortugalZlochower, Y.Center for Computational Relativity and Gravitation , and School of Mathematical Sciences , Rochester Institute of Technology , 85 Lomb Memorial Drive , Rochester , New York 14623

2014en

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Annotatsiya

The Numerical-Relativity-Analytical-Relativity (NRAR) collaboration is a joint effort between members of the numerical relativity, analytical relativity and gravitational-wave data analysis communities. The goal of the NRAR collaboration is to produce numerical-relativity simulations of compact binaries and use them to develop accurate analytical templates for the LIGO/Virgo Collaboration to use in detecting gravitational-wave signals and extracting astrophysical information from them. We describe the results of the first stage of the NRAR project, which focused on producing an initial set of numerical waveforms from binary black holes with moderate mass ratios and spins, as well as one non-spinning binary configuration which has a mass ratio of 10. All of the numerical waveforms are analysed in a uniform and consistent manner, with numerical errors evaluated using an analysis code created by members of the NRAR collaboration. We compare previously-calibrated, non-precessing analytical waveforms, notably the effective-one-body (EOB) and phenomenological template families, to the newly-produced numerical waveforms. We find that when the binary's total mass is ~100-200 solar masses, current EOB and phenomenological models of spinning, non-precessing binary waveforms have overlaps above 99% (for advanced LIGO) with all of the non-precessing-binary numerical waveforms with mass ratios <= 4, when maximizing over binary parameters. This implies that the loss of event rate due to modelling error is below 3%. Moreover, the non-spinning EOB waveforms previously calibrated to five non-spinning waveforms with mass ratio smaller than 6 have overlaps above 99.7% with the numerical waveform with a mass ratio of 10, without even maximizing on the binary parameters.

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