Strategies for the Characteristic Extraction of Gravitational Waveforms

Abstract

We develop, test and compare new numerical and geometrical methods for improving the accuracy of extracting waveforms using characteristic evolution. The new numerical method involves use of circular boundaries to the stereographic grid patches which cover the spherical cross-sections of the outgoing null cones. We show how an angular version of numerical dissipation can be introduced into the characteristic code to damp the high frequency error arising form the irregular way the circular patch boundary cuts through the grid. The new geometric method involves use of the Weyl tensor component ${\Psi }_4$ to extract the waveform as opposed to the original approach via the Bondi news function. We develop the necessary analytic and computational formula to compute the $O(1/r)$ radiative part of ${\Psi }_4$ in terms of a conformally compactified treatment of null infinity. These methods are compared and calibrated in test problems based upon linearized waves.

26 pages, 14 figures, Published in Phys.Rev.D79:084011,2009

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Cited by in corpus (33)

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• Extrapolating gravitational-wave data from numerical simulations
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• Accuracy of numerical relativity waveforms from binary neutron star mergers and their comparison with post-Newtonian waveforms
• Gravitational Wave Extraction in Simulations of Rotating Stellar Core Collapse
• Gravitational-wave detectability of equal-mass black-hole binaries with aligned spins
• On the accuracy and precision of numerical waveforms: Effect of waveform extraction methodology
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• Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
• A Characteristic Extraction Tool for Gravitational Waveforms
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• Gauge Invariant Spectral Cauchy Characteristic Extraction
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• The Final Merger of Black-Hole Binaries
• Binary Black Hole Waveform Extraction at Null Infinity
• Initial data transients in binary black hole evolutions
• Stationary hyperboloidal slicings with evolved gauge conditions
• Gauge structure of the Einstein field equations in Bondi-like coordinates
• Merging black holes with Cauchy-characteristic matching: Computation of late-time tails
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• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds