Inspiral, merger, and ringdown of unequal mass black hole binaries: A multipolar analysis
Abstract
We study the inspiral, merger, and ringdown of unequal mass black hole binaries by analyzing a catalogue of numerical simulations for seven different values of the mass ratio (from q=M{sub 2}/M{sub 1}=1 to q=4). We compare numerical and postNewtonian results by projecting the waveforms onto spinweighted spherical harmonics, characterized by angular indices (l,m). We find that the postNewtonian equations predict remarkably well the relation between the wave amplitude and the orbital frequency for each (l,m), and that the convergence of the postNewtonian series to the numerical results is nonmonotonic. To leading order, the total energy emitted in the merger phase scales like {eta}{sup 2} and the spin of the final black hole scales like {eta}, where {eta}=q/(1+q){sup 2} is the symmetric mass ratio. We study the multipolar distribution of the radiation, finding that oddl multipoles are suppressed in the equal mass limit. Higher multipoles carry a larger fraction of the total energy as q increases. We introduce and compare three different definitions for the ringdown starting time. Applying linearestimation methods (the socalled Prony methods) to the ringdown phase, we find resolutiondependent time variations in the fitted parameters of the final black hole. By cross correlating information from different multipoles, wemore »
 Authors:

 McDonnell Center for the Space Sciences, Department of Physics, Washington University, Saint Louis, Missouri 63130 (United States)
 Publication Date:
 OSTI Identifier:
 21032264
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 76; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.76.064034; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; BLACK HOLES; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; CONVERGENCE; COSMOLOGY; DISTRIBUTION; EMISSION; INDEXES; MASS; MULTIPOLES; PRONY METHOD; RESOLUTION; SPHERICAL HARMONICS; SPIN; WAVE FORMS
Citation Formats
Berti, Emanuele, Cardoso, Vitor, Gonzalez, Jose A, Sperhake, Ulrich, Hannam, Mark, Husa, Sascha, Bruegmann, Bernd, Department of Physics and Astronomy, University of Mississippi, University, Mississippi 386771848, and Theoretical Physics Institute, University of Jena, MaxWienPlatz 1, 07743, Jena. Inspiral, merger, and ringdown of unequal mass black hole binaries: A multipolar analysis. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.76.064034.
Berti, Emanuele, Cardoso, Vitor, Gonzalez, Jose A, Sperhake, Ulrich, Hannam, Mark, Husa, Sascha, Bruegmann, Bernd, Department of Physics and Astronomy, University of Mississippi, University, Mississippi 386771848, & Theoretical Physics Institute, University of Jena, MaxWienPlatz 1, 07743, Jena. Inspiral, merger, and ringdown of unequal mass black hole binaries: A multipolar analysis. United States. https://doi.org/10.1103/PHYSREVD.76.064034
Berti, Emanuele, Cardoso, Vitor, Gonzalez, Jose A, Sperhake, Ulrich, Hannam, Mark, Husa, Sascha, Bruegmann, Bernd, Department of Physics and Astronomy, University of Mississippi, University, Mississippi 386771848, and Theoretical Physics Institute, University of Jena, MaxWienPlatz 1, 07743, Jena. Sat .
"Inspiral, merger, and ringdown of unequal mass black hole binaries: A multipolar analysis". United States. https://doi.org/10.1103/PHYSREVD.76.064034.
@article{osti_21032264,
title = {Inspiral, merger, and ringdown of unequal mass black hole binaries: A multipolar analysis},
author = {Berti, Emanuele and Cardoso, Vitor and Gonzalez, Jose A and Sperhake, Ulrich and Hannam, Mark and Husa, Sascha and Bruegmann, Bernd and Department of Physics and Astronomy, University of Mississippi, University, Mississippi 386771848 and Theoretical Physics Institute, University of Jena, MaxWienPlatz 1, 07743, Jena},
abstractNote = {We study the inspiral, merger, and ringdown of unequal mass black hole binaries by analyzing a catalogue of numerical simulations for seven different values of the mass ratio (from q=M{sub 2}/M{sub 1}=1 to q=4). We compare numerical and postNewtonian results by projecting the waveforms onto spinweighted spherical harmonics, characterized by angular indices (l,m). We find that the postNewtonian equations predict remarkably well the relation between the wave amplitude and the orbital frequency for each (l,m), and that the convergence of the postNewtonian series to the numerical results is nonmonotonic. To leading order, the total energy emitted in the merger phase scales like {eta}{sup 2} and the spin of the final black hole scales like {eta}, where {eta}=q/(1+q){sup 2} is the symmetric mass ratio. We study the multipolar distribution of the radiation, finding that oddl multipoles are suppressed in the equal mass limit. Higher multipoles carry a larger fraction of the total energy as q increases. We introduce and compare three different definitions for the ringdown starting time. Applying linearestimation methods (the socalled Prony methods) to the ringdown phase, we find resolutiondependent time variations in the fitted parameters of the final black hole. By cross correlating information from different multipoles, we show that ringdown fits can be used to obtain precise estimates of the mass and spin of the final black hole, which are in remarkable agreement with energy and angular momentum balance calculations.},
doi = {10.1103/PHYSREVD.76.064034},
url = {https://www.osti.gov/biblio/21032264},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 76,
place = {United States},
year = {2007},
month = {9}
}