Waveform model for the $(\ell =2,m=0)$ spherical harmonic and the displacement memory contribution from precessing binary black holes

Abstract

In this paper we construct the first phenomenological waveform model which contains the "complete" $\ell =2$ spherical harmonic mode content for gravitational wave signals emitted by the coalescence of binary black holes with spin precession: The model contains the dominant part of the gravitational wave displacement memory, which manifests in the $(\ell =2,m=0)$ spherical harmonic in a co-precessing frame, as well as the oscillatory component of this mode. The model is constructed by twisting up the oscillatory contribution of the mode, as it was previously done for the rest of spherical harmonic modes in IMRPhenomTPHM and the Phenom family of waveform models. Regarding the displacement memory contribution present in the aligned spin (2,0) mode, we discuss a procedure to analytically compute the "precessing memory" in all the $\ell =2$ modes using the integration derived from the Bondi-Metzner-Sachs balance laws. The final waveform of the (2,0) mode is then obtained by summing together both contributions. We implement this as an extension of the computationally efficient IMRPhenomTPHM waveform model, and we test its accuracy by comparing against a set of Numerical Relativity simulations. Finally, we employ the model to perform a Bayesian parameter estimation injection analysis.

arXiv comment18 pages, 10 figures

References in corpus (35)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• A simple model of complete precessing black-hole-binary gravitational waveforms
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Surrogate models for precessing binary black hole simulations with unequal masses
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Exploring black hole superkicks
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Tracking the precession of compact binaries from their gravitational-wave signal
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• A geometric approach to the precession of compact binaries
• New twists in compact binary waveform modelling: a fast time domain model for precession
• Computation of Displacement and Spin Gravitational Memory in Numerical Relativity
• Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
• Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
• Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries
• Gravitational-wave memory: waveforms and phenomenology
• Numerical relativity surrogate model with memory effects and post-Newtonian hybridization
• Higher memory effects and the post-Newtonian calculation of their gravitational-wave signals
• A waveform model for the missing quadrupole mode from black hole coalescence: memory effect and ringdown of the $(\ell =2,m=0)$ spherical harmonic
• Real modes and null memory contributions in effective-one-body models
• Mind the step: On the frequency-domain analysis of gravitational-wave memory waveforms
• GPU-accelerated LISA parameter estimation with full time domain response