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Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms

Moxon, Jordan and Scheel, Mark A. and Teukolsky, Saul A. (2020) Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms. Physical Review D, 102 (4). Art. No. 044052. ISSN 2470-0010. doi:10.1103/physrevd.102.044052.

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We present several improvements to the Cauchy-characteristic evolution procedure that generates high-fidelity gravitational waveforms at I+ from numerical relativity simulations. Cauchy-characteristic evolution combines an interior solution of the Einstein field equations based on Cauchy slices with an exterior solution based on null slices that extend to I+. The foundation of our improved algorithm is a comprehensive method of handling the gauge transformations between the arbitrarily specified coordinates of the interior Cauchy evolution and the unique (up to Bondi-Metzner-Sachs group transformations) Bondi-Sachs coordinate system of the exterior characteristic evolution. We present a reformulated set of characteristic evolution equations better adapted to numerical implementation. In addition, we develop a method to ensure that the angular coordinates used in the volume during the characteristic evolution are asymptotically inertial. This provides a direct route to an expanded set of waveform outputs and is guaranteed to avoid pure-gauge logarithmic dependence that has caused trouble for previous spectral implementations of the characteristic evolution equations. We construct a set of Weyl scalars compatible with the Bondi-like coordinate systems used in characteristic evolution and determine simple, easily implemented forms for the asymptotic Weyl scalars in our suggested set of coordinates.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Moxon, Jordan0000-0001-9891-8677
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2020 American Physical Society. Received 6 July 2020; accepted 24 July 2020; published 28 August 2020. We thank Kevin Barkett, Michael Boyle, Dante Iozzo, Bela Szilagyi, and Jeff Winicour for valuable discussions and suggestions regarding this project. We thank Harald Pfeiffer for suggestions improving the presentation in this paper. This work was supported in part by the Sherman Fairchild Foundation and by NSF Grants No. PHY-1708212, No. PHY-1708213, and No. OAC-1931266 at Caltech and NSF Grants No. PHY-1912081 and No. OAC-1931280 at Cornell.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20200901-092407906
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105195
Deposited By: Tony Diaz
Deposited On:08 Sep 2020 18:08
Last Modified:16 Nov 2021 18:40

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