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  On the mass radiated by coalescing black-hole binaries: Erratum ApJ, 2012, 758, 63

Barausse, E., Morozova, V., & Rezzolla, L. (2014). On the mass radiated by coalescing black-hole binaries: Erratum ApJ, 2012, 758, 63. The Astrophysical Journal, 786(1): 76. doi:10.1088/0004-637X/786/1/76.

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Barausse, Enrico, Author
Morozova, Viktoriya1, Author
Rezzolla, Luciano1, Author           
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
 Abstract: We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct test-particle limit for extreme mass-ratio binaries, our formula reproduces well the results of all the numerical-relativity simulations published so far, both when applied at separations of a few gravitational radii, and when applied at separations of tens of thousands of gravitational radii. These validations make our formula a useful tool in a variety of contexts ranging from gravitational-wave physics to cosmology. As representative examples, we first illustrate how it can be used to decrease the phase error of the effective-one-body waveforms during the ringdown phase. Second, we show that, when combined with the recently computed self-force correction to the binding energy of nonspinning black-hole binaries, it provides an estimate of the energy emitted during the merger and ringdown. Finally, we use it to calculate the energy radiated in gravitational waves by massive black-hole binaries as a function of redshift, using different models for the seeds of the black-hole population.

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 Dates: 2012-06-172012-09-052014
 Publication Status: Issued
 Pages: 9 pages (emulateapj), 4 figures. References added, very minor changes to text. ApJ in press
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 Rev. Type: -
 Identifiers: DOI: 10.1088/0004-637X/786/1/76
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Title: The Astrophysical Journal
Source Genre: Journal
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Publ. Info: Chicago, IL : University of Chicago Press for the American Astronomical Society
Pages: - Volume / Issue: 786 (1) Sequence Number: 76 Start / End Page: - Identifier: ISSN: 0004-637X
CoNE: https://pure.mpg.de/cone/journals/resource/954922828215_3