Gauge Invariant Spectral Cauchy Characteristic Extraction

Abstract

We present gauge invariant spectral Cauchy characteristic extraction. We compare gravitational waveforms extracted from a head-on black hole merger simulated in two different gauges by two different codes. We show rapid convergence, demonstrating both gauge invariance of the extraction algorithm and consistency between the legacy Pitt null code and the much faster Spectral Einstein Code (SpEC).

References in corpus (5)

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• Strategies for the Characteristic Extraction of Gravitational Waveforms
• Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
• The Advanced LIGO Gravitational Wave Detector

Cited by in corpus (17)

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• Improvements to the construction of binary black hole initial data
• A Review of Gravitational Memory and BMS Frame Fixing in Numerical Relativity
• Compact Binary Waveform Center-of-Mass Corrections
• Spectral Cauchy Characteristic Extraction of strain, news and gravitational radiation flux
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• Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• Global simulations of Minkowski space-time including space-like infinity
• Merging black holes with Cauchy-characteristic matching: Computation of late-time tails
• Characteristic Formulation for Metric $f(R)$ Gravity
• Conformal compactification and affine-null metric formulation of the Einstein equations