Worldtube excision method for intermediate-mass-ratio inspirals: scalar-field model in 3+1 dimensions

Abstract

Binary black hole simulations become increasingly more computationally expensive with smaller mass ratios, partly because of the longer evolution time, and partly because the lengthscale disparity dictates smaller time steps. The program initiated by Dhesi et al. (arXiv:2109.03531) explores a method for alleviating the scale disparity in simulations with mass ratios in the intermediate astrophysical range ($10^{-4}\lesssim q\lesssim 10^{-2}$), where purely perturbative methods may not be adequate. A region ("worldtube") much larger than the small black hole is excised from the numerical domain, and replaced with an analytical model approximating a tidally deformed black hole. Here we apply this idea to a toy model of a scalar charge in a fixed circular geodesic orbit around a Schwarzschild black hole, solving for the massless Klein-Gordon field. This is a first implementation of the worldtube excision method in full 3+1 dimensions. We demonstrate the accuracy and efficiency of the method, and discuss the steps towards applying it for evolving orbits and, ultimately, in the binary black-hole scenario. Our implementation is publicly accessible in the SpECTRE numerical relativity code.

19 pages, 10 figures; remove typo in Eq. (9c)

References in corpus (48)

• Array Programming with NumPy
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Science Case for the Einstein Telescope
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• The SXS Collaboration catalog of binary black hole simulations
• Self-force and radiation reaction in general relativity
• Self-force via a Green's function decomposition
• New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• A New Generalized Harmonic Evolution System
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• 4-OGC: Catalog of gravitational waves from compact-binary mergers
• Solving Einstein's Equations With Dual Coordinate Frames
• Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
• Gravitational waveforms for compact binaries from second-order self-force theory
• Second-order self-force calculation of the gravitational binding energy in compact binaries
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
• Gravitational self-force on generic bound geodesics in Kerr spacetime
• Gravitational-wave energy flux for compact binaries through second order in the mass ratio
• Black hole mergers from dwarf to massive galaxies with the NewHorizon and Horizon-AGN simulations
• Improved methods for simulating nearly extremal binary black holes
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• Detectability of Intermediate-Mass Black Holes in Multiband Gravitational Wave Astronomy
• Probing Massive Black Hole Binary Populations with LISA
• Libsharp - spherical harmonic transforms revisited
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
• Nonlinear gravitational self-force. I. Field outside a small body
• Extreme black hole simulations: collisions of unequal mass black holes and the point particle limit
• Expression Templates Revisited: A Performance Analysis of the Current ET Methodology
• Boundary Conditions for the Einstein Evolution System
• Regularization parameters for the self force in Schwarzschild spacetime: I. scalar case
• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
• Scalar field self-force effects on orbits about a Schwarzschild black hole
• Self-consistent orbital evolution of a particle around a Schwarzschild black hole
• High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime
• Optimal Constraint Projection for Hyperbolic Evolution Systems
• 3D simulations of linearized scalar fields in Kerr spacetime
• Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach
• Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Self-force with (3+1) codes: a primer for numerical relativists
• Constraining properties of the black hole population using LISA
• Generic effective source for scalar self-force calculations
• Adapted gauge to small mass ratio binary black hole evolutions

Cited by in corpus (7)

• The Science of the Einstein Telescope
• Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
• Multi-domain spectral method for self-force calculations
• Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail
• Worldtube excision method for intermediate-mass-ratio inspirals: self-consistent evolution in a scalar-charge model
• The tidal response of a relativistic star
• Relieving scale disparity in binary black hole simulations