Gauge Invariant Spectral Cauchy Characteristic Extraction

TL;DR

This paper introduces a gauge invariant spectral Cauchy characteristic extraction method for gravitational waveforms, demonstrating its rapid convergence and consistency across different gauges and codes.

Contribution

The paper presents a novel gauge invariant spectral extraction technique validated across two different codes and gauges, ensuring reliable gravitational waveform extraction.

Findings

Rapid convergence of the extraction method.

Confirmed gauge invariance of the algorithm.

Consistency between different computational codes.

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).