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Notes on the integration of numerical relativity waveforms

Reisswig, Christian and Pollney, Denis (2011) Notes on the integration of numerical relativity waveforms. Classical and Quantum Gravity, 28 (19). p. 195015. ISSN 0264-9381.

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The primary goal of numerical relativity is to provide estimates of the wave strain, h, from strong gravitational wave sources, to be used in detector templates. The simulations, however, typically measure waves in terms of the Weyl curvature component, ψ_4. Assuming Bondi gauge, transforming to the strain h reduces to integration of ψ_4 twice in time. Integrations performed in either the time or frequency domain, however, lead to secular nonlinear drifts in the resulting strain h. These nonlinear drifts are not explained by the two unknown integration constants which can at most result in linear drifts. We identify a number of fundamental difficulties which can arise from integrating finite length, discretely sampled and noisy data streams. These issues are an artifact of post-processing data. They are independent of the characteristics of the original simulation, such as gauge or numerical method used. We suggest, however, a simple procedure for integrating numerical waveforms in the frequency domain, which is effective at strongly reducing spurious secular nonlinear drifts in the resulting strain.

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Additional Information:© 2011 IOP Publishing Ltd. Received 25 February 2011, in final form 15 August 2011 Published 14 September 2011. The authors would like to thank Sascha Husa, Christian D Ott and Ulrich Sperhake for helpful input. This work is supported by the Bundesministerium für Bildung und Forschung and the National Science Foundation under grant numbers AST-0855535 and OCI-0905046. DP has been supported by grants CSD2007-00042 and FPA-2007-60220 of the Spanish Ministry of Science. Computations were performed on the NSF Teragrid (allocation TG-MCA02N014), the LONI network ( under allocation loni_numrel05, at LRZ München, the Barcelona Supercomputing Center, and at the Albert-Einstein-Institut.
Funding AgencyGrant Number
Bundesministerium für Bildung und Forschung UNSPECIFIED
Spanish Ministry of ScienceCSD2007-00042
Spanish Ministry of ScienceFPA-2007-60220
Classification Code:PACS: 04.25.dg, 04.30.Db, 04.30.Tv, 04.30.Nk. MSC: 83C05; 83C35
Record Number:CaltechAUTHORS:20111018-095759444
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Official Citation:Notes on the integration of numerical relativity waveforms Christian Reisswig and Denis Pollney 2011 Class. Quantum Grav. 28 195015
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27275
Deposited By: Jason Perez
Deposited On:18 Oct 2011 20:07
Last Modified:08 Nov 2012 18:59

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