A Characteristic Extraction Tool for Gravitational Waveforms

TL;DR

This paper introduces an improved characteristic waveform extraction tool that achieves high accuracy for gravitational waveforms at null infinity, crucial for advanced LIGO data analysis, especially for binary black hole mergers.

Contribution

The paper presents a new, calibrated extraction tool that enhances accuracy and convergence, enabling reliable waveform extraction at smaller radii and facilitating comparisons across different numerical relativity codes.

Findings

Achieves high accuracy for inspiral and merger waveforms

Demonstrates convergence even at small extraction radii

Enables unambiguous waveform comparisons

Abstract

We develop and calibrate a characteristic waveform extraction tool whose major improvements and corrections of prior versions allow satisfaction of the accuracy standards required for advanced LIGO data analysis. The extraction tool uses a characteristic evolution code to propagate numerical data on an inner worldtube supplied by a 3+1 Cauchy evolution to obtain the gravitational waveform at null infinity. With the new extraction tool, high accuracy and convergence of the numerical error can be demonstrated for an inspiral and merger of mass M binary black holes even for an extraction worldtube radius as small as R = 20M. The tool provides a means for unambiguous comparison between waveforms generated by evolution codes based upon different formulations of the Einstein equations and based upon different numerical approximations.