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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Characteristic extraction in numerical relativity: Binary black hole merger waveforms at null infinity
Classical and Quantum Gravity, Volume 27, No. 7, Article 075014, Year 2010
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Description
The accurate modeling of gravitational radiation is a key issue for gravitational wave astronomy. As simulation codes reach higher accuracy, systematic errors inherent in current numerical relativity wave extraction methods become evident, and may lead to a wrong astrophysical interpretation of the data. In this paper, we give a detailed description of the Cauchy-characteristic extraction technique applied to binary black hole inspiral and merger evolutions to obtain gravitational waveforms that are defined unambiguously, that is, at future null infinity. By this method, we remove finite-radius approximations and the need to extrapolate data from the near zone. Further, we demonstrate that the method is free of gauge effects and thus is affected only by numerical error. Various consistency checks reveal that energy and angular momentum are conserved to high precision and agree very well with extrapolated data. In addition, we revisit the computation of the gravitational recoil and find that finite-radius extrapolation very well approximates the result at . However, the (non-convergent) systematic differences in the extrapolated data are of the same order of magnitude as the (convergent) discretization error of the Cauchy evolution, thus highlighting the need for correct wave extraction. © 2010 IOP Publishing Ltd.
Authors & Co-Authors
Reisswig, Christian
Germany, Potsdam
Max-planck-institut Für Gravitationsphysik Albert-einstein-institut
Bishop, Nigel T.
South Africa, Grahamstown
Rhodes University
Pollney, Denis
Germany, Potsdam
Max-planck-institut Für Gravitationsphysik Albert-einstein-institut
Szilágyi, Béla
United States, Pasadena
California Institute of Technology
Statistics
Citations: 64
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1088/0264-9381/27/7/075014
ISSN:
02649381
e-ISSN:
13616382
Research Areas
Cancer