Efficient simulations of high-spin black holes with a new gauge

Abstract

We present a new choice of initial data for binary black hole simulations that significantly improves the efficiency of high-spin simulations. We use spherical Kerr-Schild coordinates, where the horizon of a rotating black hole is spherical, for each black hole. The superposed spherical Kerr-Schild initial data reduce the runtime by a factor of 2 compared to standard superposed Kerr-Schild for an intermediate resolution spin-0.99 binary-black-hole simulation. We also explore the possibility of delaying the transition from the initial data gauge to the evolution gauge, which produces an additional speed-up of 1.3.

arXiv comment17 pages, 11 figures, 3 tables

References in corpus (68)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• 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
• Tests of general relativity with GW150914
• Evolution of Binary Black Hole Spacetimes
• Testing General Relativity with Present and Future Astrophysical Observations
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Effective one-body approach to general relativistic two-body dynamics
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• Properties of the Binary Black Hole Merger GW150914
• GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105
• GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• The SXS Collaboration catalog of binary black hole simulations
• Numerical Relativity Using a Generalized Harmonic Decomposition
• Surrogate models for precessing binary black hole simulations with unequal masses
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• A New Generalized Harmonic Evolution System
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Conformal ``thin sandwich'' data for the initial-value problem of general relativity
• Constraint damping in the Z4 formulation and harmonic gauge
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• The Extreme Spin of the Black Hole in Cygnus X-1
• Stellar-mass Black Hole Spin Constraints from Disk Reflection and Continuum Modeling
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• A multidomain spectral method for solving elliptic equations
• Extrinsic Curvature and the Einstein Constraints
• Solving Einstein's Equations With Dual Coordinate Frames
• A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
• Harmonic coordinate method for simulating generic singularities
• Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models
• Georgia Tech Catalog of Gravitational Waveforms
• Binary-black-hole initial data with nearly-extremal spins
• Simulations of Binary Black Hole Mergers Using Spectral Methods
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
• Confirmation Via the Continuum-Fitting Method that the Spin of the Black Hole in Cygnus X-1 is Extreme
• On the determination of the spin of the black hole in Cyg X-1 from X-ray reflection spectra
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Extrapolating gravitational-wave data from numerical simulations
• Transformations of asymptotic gravitational-wave data
• Simulations of non-equal mass black hole binaries with spectral methods
• The NINJA-2 catalog of hybrid post-Newtonian/numerical-relativity waveforms for non-precessing black-hole binaries
• The RIT binary black hole simulations catalog
• Reducing orbital eccentricity of precessing black-hole binaries
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame
• Testing outer boundary treatments for the Einstein equations
• Simulating merging binary black holes with nearly extremal spins
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Key Elements of Robustness in Binary Black Hole Evolutions using Spectral Methods
• Optimal Constraint Projection for Hyperbolic Evolution Systems
• 3D simulations of linearized scalar fields in Kerr spacetime
• Status of NINJA: the Numerical INJection Analysis project
• The hangup effect in unequal mass binary black hole mergers and further studies of their gravitational radiation and remnant properties
• Physics of eccentric binary black hole mergers: A numerical relativity perspective
• Flip-flopping binary black holes
• Controlling the Growth of Constraints in Hyperbolic Evolution Systems
• Extending Gravitational Wave Extraction Using Weyl Characteristic Fields
• Comparison of binary black hole initial data sets
• Gravitational-wave modes from precessing black-hole binaries
• Evolutions of Nearly Maximally Spinning Black Hole Binaries Using the Moving Puncture Approach
• Extending superposed harmonic initial data to higher spin

Cited by in corpus (6)

• The Science of the Einstein Telescope
• The SXS Collaboration's third catalog of binary black hole simulations
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• Is it possible to construct asymptotically flat initial data using the evolutionary forms of the constraints?
• Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes
• Discontinuous Galerkin scheme for elliptic equations on extremely stretched grids