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Spectral Cauchy characteristic extraction of strain, news and gravitational radiation flux

Handmer, Casey J. and Szilágyi, Béla and Winicour, Jeffrey (2016) Spectral Cauchy characteristic extraction of strain, news and gravitational radiation flux. Classical and Quantum Gravity, 33 (22). Art. No. 225007. ISSN 0264-9381. doi:10.1088/0264-9381/33/22/225007.

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We present a new approach for the Cauchy-characteristic extraction (CCE) of gravitational radiation strain, news function, and the flux of the energy–momentum, supermomentum and angular momentum associated with the Bondi–Metzner–Sachs asymptotic symmetries. In CCE, a characteristic evolution code takes numerical data on an inner worldtube supplied by a Cauchy evolution code, and propagates it outwards to obtain the space–time metric in a neighborhood of null infinity. The metric is first determined in a scrambled form in terms of coordinates determined by the Cauchy formalism. In prior treatments, the waveform is first extracted from this metric and then transformed into an asymptotic inertial coordinate system. This procedure provides the physically proper description of the waveform and the radiated energy but it does not generalize to determine the flux of angular momentum or supermomentum. Here we formulate and implement a new approach which transforms the full metric into an asymptotic inertial frame and provides a uniform treatment of all the radiation fluxes associated with the asymptotic symmetries. Computations are performed and calibrated using the spectral Einstein code.

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Additional Information:© 2016 IOP Publishing Ltd. Received 17 May 2016; Accepted 21 September 2016; Published 21 October 2016. We thank Nicholas Taylor for his generic precessing binary black hole run that we used to test and baseline code performance. We thank Mark Scheel, Yanbei Chen, and Christian Reisswig for their advice, support, and technical expertise. This research used the Spectral Einstein Code (SpEC) [46]. The Caltech cluster is an essential resource for SpEC related research, supported by the Sherman Fairchild Foundation and by NSF award PHY-0960291. This research also used the Extreme Science and Engineering Discovery Environment (XSEDE) under grant TG-PHY990002. The UCSD cluster was used during code development. This project was supported by the Sherman Fairchild Foundation, and by NSF Grants PHY-1068881, AST-1333520, and CAREER Grant PHY-0956189 at Caltech. JW's research was supported by NSF grant PHY-1505965 to the University of Pittsburgh.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
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Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:22
Record Number:CaltechAUTHORS:20161024-124908009
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Official Citation:Casey J Handmer et al 2016 Class. Quantum Grav. 33 225007
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71391
Deposited By: Tony Diaz
Deposited On:24 Oct 2016 20:04
Last Modified:12 Jul 2022 19:42

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