Evolution of Binary Black Hole Spacetimes

Abstract

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary systems for enough time to extract information about the orbit, merger and gravitational waves emitted during the event. As an example we show results from the evolution of a binary composed of two equal mass, non-spinning black holes, through a single plunge-orbit, merger and ring down. The resultant black hole is estimated to be a Kerr black hole with angular momentum parameter a~0.70. At present, lack of resolution far from the binary prevents an accurate estimate of the energy emitted, though a rough calculation suggests on the order of 5% of the initial rest mass of the system is radiated as gravitational waves during the final orbit and ringdown.

4 pages, 3 figures

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• Gravitational radiation in d>4 from effective field theory
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• Witnessing the Birth of a Quasar
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• On the Use of Multipole Expansion in Time Evolution of Non-linear Dynamical Systems and Some Surprises Related to Superradiance
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• Nutational resonances, transitional precession, and precession-averaged evolution in binary black-hole systems
• Ineffectiveness of Padé resummation techniques in post-Newtonian approximations
• Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization
• Improved Moving Puncture Gauge Conditions for Compact Binary Evolutions
• Deforming Black Hole and Cosmological Solutions by Quasiperiodic and/or Pattern Forming Structures in Modified and Einstein Gravity
• Up to eleven: radiation from particles with arbitrary energy falling into higher-dimensional black holes
• Gauge Drivers for the Generalized Harmonic Einstein Equations
• Analyzing Gravitational Waves with General Relativity
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• On quasinormal modes for the Vaidya metric in asymptotically anti-de Sitter spacetime
• Quasinormal modes of black holes in Weyl gravity: Electromagnetic and gravitational perturbations
• An Operator-Based Local Discontinuous Galerkin Method Compatible With the BSSN Formulation of the Einstein Equations
• Evolutions of Nearly Maximally Spinning Black Hole Binaries Using the Moving Puncture Approach
• Comments on Bona-Masso type slicing conditions in long-term black hole evolutions
• Principles of wide bandwidth acoustic detectors and the single-mass DUAL detector
• Differential configurational entropy and the gravitational collapse of a kink
• Higher-dimensional puncture initial data
• The Close-Limit Approximation for Black Hole Binaries with Post-Newtonian Initial Conditions
• Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
• Binary Dynamics from Worldline QFT for Scalar-QED
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• Initial data for general relativistic simulations of multiple electrically charged black holes with linear and angular momenta
• Template Banks for Binary black hole searches with Numerical Relativity waveforms
• Spectral methods for the wave equation in second-order form
• The affine-null metric formulation of Einstein's equations
• Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals from Black-hole Perturbation Approach
• Alternatives to standard puncture initial data for binary black hole evolution
• On the equal-mass limit of precessing black-hole binaries
• Eccentricity content of binary black hole initial data
• Coherent Gravitational Waveforms and Memory from Cosmic String Loops
• Formation of low-spinning 100 Msun black holes
• About gravitational-wave generation by a three-body system
• Stochastic gravitational-wave background from spin loss of black holes
• Dynamical evolution of massive black holes in galactic-scale N-body simulations - introducing the regularized tree code "rVINE"
• Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence
• Inspiralling, Non-Precessing, Spinning Black Hole Binary Spacetime via Asymptotic Matching
• Searching for Gravitational Waves with a Geostationary Interferometer
• Final Mass and Spin of Merged Black Holes and the Golden Black Hole
• Introduction to Numerical Relativity
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Geometrically motivated hyperbolic coordinate conditions for numerical relativity: Analysis, issues and implementations
• Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
• Gravitational radiation driven capture in unequal mass black hole encounters
• Parameter estimation of compact binaries using the inspiral and ringdown waveforms
• Global simulations of Minkowski space-time including space-like infinity
• Stationary hyperboloidal slicings with evolved gauge conditions
• Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early Evolutions
• Gravitational Waves from Periodic Three-Body Systems
• Absorbing boundary conditions for Einstein's field equations
• A geometrically motivated coordinate system for exploring spacetime dynamics in numerical-relativity simulations using a quasi-Kinnersley tetrad
• New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole
• The periodic standing-wave approximation: eigenspectral computations for linear gravity and nonlinear toy models
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
• RELXILL_NK: a relativistic reflection model for testing Einstein's gravity
• Growth of Massive Black-Holes in FFB Galaxies at Cosmic Dawn
• Multidomain Spectral Method for the Helically Reduced Wave Equation
• Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
• Evolution of Brill waves with an adaptive pseudospectral method
• Consequences of Triaxiality for Gravitational Wave Recoil of black holes
• Electromagnetic Emission from a Binary Black Hole Merger Remnant in Plasma: Field Alignment and Plasma Temperature
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• Almost-stationary motions and gauge conditions in General Relativity
• Asymptotically Matched Spacetime Metric for Non-Precessing, Spinning Black Hole Binaries
• Advances in Simulations of Generic Black-Hole Binaries
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• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• The periodic standing-wave approximation: post-Minkowski computation
• Scope out multiband gravitational-wave observations of GW190521-like binary black holes with space gravitational wave antenna B-DECIGO
• Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows
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• Systematics of black hole binary inspiral kicks and the slowness approximation
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• Mergers of Maximally Charged Primordial Black Holes
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• Numerical space-times near space-like and null infinity. The spin-2 system on Minkowski space
• Strategies for the Follow-up of Gravitational Wave Transients with the Cherenkov Telescope Array
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• Cosmology using numerical relativity
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• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Resolving the Schwarzschild singularity in both classic and quantum gravity
• Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
• Axisymmetric Numerical Relativity
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• IMEX evolution of scalar fields on curved backgrounds
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• An Implementation of DF-GHG with Application to Spherical Black Hole Excision
• An upper limit on the spins of merging binary black holes formed through binary evolution
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• Metric perturbations in Noncommutative Gravity
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• Mixed Hyperbolic - Second-Order Parabolic Formulations of General Relativity
• A new method to integrate (2+1)-wave equations with Dirac's delta functions as sources
• Accounting for numerical-relativity calibration uncertainty in gravitational-wave modeling and inference
• Distortion of Gravitational-Wave Packets Due to their Self-Gravity
• Asymptotics and singularities in cosmological models with positive cosmological constant
• Numerical convergence of model Cauchy-characteristic extraction and matching
• Searching for binary coalescences with inspiral templates: Detection and parameter estimation
• Critical collapse of ultra-relativistic fluids: damping or growth of aspherical deformations
• Lecture Notes: Numerical Relativity in higher dimensional spacetimes
• Numerical Relativity and High Energy Physics: Recent Developments
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Seeking for toroidal event horizons from initially stationary BH configurations
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• Beyond general relativity: designing a template-based search for exotic gravitational wave signals
• Simulating binary black hole mergers using discontinuous Galerkin methods
• Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes
• Numerical Relativity as a New Tool for Fundamental Cosmology
• Exact Gravitational Wave Signatures from Colliding Extreme Black Holes
• The First Detection of Gravitational Waves
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• Systematic errors in measuring parameters of non-spinning compact binary coalescences with post-Newtonian templates
• Recoiling Supermassive Black Holes in Spin-flip Radio Galaxies
• Oppenheimer-Snyder Collapse in Moving-Puncture Coordinates
• Massive Black Hole Recoil in High Resolution Hosts
• The periodic standing-wave approximation: computations in full general relativity
• Robustness of Binary Black Hole Mergers in the Presence of Spurious Radiation
• An Einstein-Bianchi system for Smooth Lattice General Relativity. I. The Schwarzschild spacetime
• A fixed point for black hole distributions
• Efficient simulations of high-spin black holes with a new gauge
• Towards an exascale code for GRMHD on dynamical spacetimes
• Outliers in the LIGO Black Hole Mass Function from Coagulation in Dense Clusters
• Schwarzschild Fuzzball and Explicitly Unitary Hawking Radiations
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• Universality of the spherical collapse with respect to the matter type : the case of a barotropic fluid with linear equation of state
• A Numerical Study of Boson Star Binaries
• A Mid-Thirties Crisis: Dissecting the Properties of Gravitational Wave Sources Near the 35 Solar Mass Peak
• The detection of quasinormal mode with $a/M\sim 0.95$ would prove a sphere $99\%$ soaking in the ergoregion of the Kerr space-time
• Numerical relativity in higher dimensions
• Numerical performance of the parabolized ADM (PADM) formulation of General Relativity
• A Parallel Adaptive Event Horizon Finder for Numerical Relativity
• A new first-order formulation of the Einstein equations exploiting analogies with electrodynamics
• Measuring eccentricity in binary black-hole initial data
• Gravitational wave extraction in higher dimensional numerical relativity using the Weyl tensor
• Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
• Quasinormal mode spectra for odd parity perturbations in spacetimes with smeared matter sources
• Classical Simulations of Quantum Field Theory in Curved Spacetime I: Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme
• Note on Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals: Retrograde Orbits
• Fundamental Physics and Cosmology with TianQin
• An excision scheme for black holes in constrained evolution formulations: spherically symmetric case
• Bayesian comparison of Post-Newtonian approximations of gravitational wave chirp signals
• Gravitational wave recoil in Robinson-Trautman spacetimes
• Free and constrained symplectic integrators for numerical general relativity
• Spin coefficients and gauge fixing in the Newman-Penrose formalism
• Disembodied boundary data for Einstein's equations
• Template-space metric for searches for gravitational waves from the inspiral, merger and ringdown of binary black holes
• Mass-Energy and Momentum Extraction by Gravitational Wave Emission in the Merger of Two Colliding Black Holes: The Non-Head-On Case
• Waveforms from Amplitudes
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• Binary Black Hole Waveforms from High-Resolution GR-Athena++ Simulations
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• GPU-Accelerated Simulations of Isolated Black Holes
• The irreducible mass and the horizon area of LIGO's black holes
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• Cauchy Evolution of Asymptotically Global AdS Spacetimes with No Symmetries
• First investigation of void statistics in numerical relativity simulations
• Simulations of gravitational collapse in null coordinates: III. Hyperbolicity
• Extended two-dimensional characteristic framework to study nonrotating black holes
• Asymptotic Behavior of Cosmologies with $\Lambda >0$ in 2+1 Dimensions
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• Menus for Feeding Black Holes
• Bondi Accretion in Trumpet Geometries
• Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail
• The initial boundary value problem for free-evolution formulations of General Relativity
• Hypercompact stellar clusters: morphological renditions and spectro-photometric models
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• Binary Black Hole Coalescence in Semi-Analytic Puncture Evolution
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• Shear Viscosity in the Post-quasistatic Approximation
• Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation
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• Study of multi black hole and ring singularity apparent horizons
• Inferring black-hole orbital dynamics from numerical-relativity gravitational waveforms
• Constructing a boosted, spinning black hole in the damped harmonic gauge
• Ninja data analysis with a detection pipeline based on the Hilbert-Huang Transform
• Gravitational collapse in AdS: instabilities, turbulence, and information
• Massive to gauge field reduction and gravitational wave zone information
• Approaching the black hole by numerical simulations
• Exploring the Use of Numerical Relativity Waveforms in Burst Analysis of Precessing Black Hole Mergers
• Gravitational Waves, Gamma Ray Bursts, and Black Stars
• General Relativity Today
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• Lattice Boltzmann Model for Numerical Relativity
• Probing the Binary Black Hole Merger Regime with Scalar Perturbations
• Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration
• Gravitational wave detection using multiscale chirplets
• Well-posed constrained evolution of 3+1 formulations of General Relativity
• The general relativistic two body problem
• Exploring the Dynamics of General Relativistic Binary-Single and Binary-Binary Encounters of Black Holes
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
• Post-adiabatic waveforms from extreme mass ratio inspirals in the presence of dark matter
• The Effective One Body description of the Two-Body problem
• Puncture black hole initial data in the conformal thin-sandwich formalism
• Modifications for numerical stability of black hole evolution
• Time parallel gravitational collapse simulation
• Mass gap in the critical gravitational collapse of a kink
• Criticality of inhomogeneous Nariai-like cosmological models
• Relativistic encounters in dense stellar systems
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Mathematical general relativity: a sampler
• Upper limits on the temperature of inspiraling astrophysical black holes
• Data Analysis Challenges for the Einstein Telescope
• An Effective Field Theory for Binary Cosmic Strings
• Un-modeled search for black hole binary systems in the NINJA project
• Hypergraph Discretization of the Cauchy Problem in General Relativity via Wolfram Model Evolution
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Scrambling and Entangling Spinning Particles
• On primordial universe in anti-de Sitter landscape
• Weyl Curvature Evolution System for GR
• Accounting for the Known Unknowns: A Parametric Framework to Incorporate Systematic Waveform Errors in Gravitational-Wave Parameter Estimation
• Forecasting Tidal Disruption Events by Binary Black Hole Roulettes
• Probing Fundamental Physics with Gravitational Waves
• Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
• A fast stroboscopic spectral method for rotating systems in numerical relativity
• Avenues for Analytic exploration in Axisymmetric Spacetimes. Foundations and the Triad Formalism
• Black Hole and Neutron Star Binaries: Theoretical Challenges
• Introduction to gravitational wave astronomy
• Black hole spectroscopy of collapsing and merging neutron stars
• Gravitational systems in asymptotically anti-de Sitter space-times
• Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques
• Numerical Relativity and the Discovery of Gravitational Waves
• Area Invariance of Apparent Horizons under Arbitrary Boosts
• Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes
• High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
• Properties of Quasi-local mass in binary black hole mergers
• Coalescing binaries as possible standard candles
• Fixed mesh refinement in the characteristic formulation of General Relativity
• Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
• Quantum correlations in a gravitational collapse simulation with SpheriCo.jl
• Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
• New frontiers in Numerical Relativity
• Two-body problem in curved spacetime: exploring gravitational wave transient cases
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Investigating Binary Black Hole Mergers with Principal Component Analysis
• Schwarzschild-de Sitter Spacetimes, McVittie Coordinates, and Trumpet Geometries
• On the stability of covariant BSSN formulation
• Accretion of a Symmetry Breaking Scalar Field by a Schwarzschild Black Hole
• Three little pieces for computer and relativity
• Connecting Numerical Relativity and Data Analysis of Gravitational Wave Detectors
• A Simple, Direct Finite Differencing of the Einstein Equations
• Analytical Tendex and Vortex Fields for Perturbative Black Hole Initial Data
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• Tighter bounds on a hypothetical graviton screening mass from the gravitational wave observation GW150914 at LIGO
• Challenging theories of gravitation: dark matter, compact objects and gravitational waves
• First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory
• Gauge and constraint degrees of freedom: from analytical to numerical approximations in General Relativity
• Exploring gravitational impulse via quantum Boltzmann equation
• Binary Inspirals in Nordström's Second Theory
• Non-linear instability of slowly rotating Kerr-AdS black holes
• Local(ish) gravity theories in conformal superspace
• Gauge Boundary conditions to mitigate center-of-mass drift in BBH simulations
• On the asymptotics of 3+1D cosmologies with bounded scalar potential and isometry group forming 2-dimensional orbits
• Absorption and scattering of massless scalar waves by black holes in quasi-topological gravity
• Fundamental Concepts
• A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
• Stable long-term evolution in numerical relativity
• Perturbative solution of the Einstein Constraints with Spin and Momentum Far Away From a Binary Source in the Bowen-York formalism
• Post-Newtonian prediction for the (2,2) mode of the gravitational wave emitted by compact binaries
• Scattering Amplitudes for Binary Systems beyond GR
• Tidal deformations of compact objects and gravitational wave emission
• A User-Friendly Python Interface for the Numerical Relativity Code AMSS-NCKU
• Pseudospectral implementation of the Einstein-Maxwell system
• Hybrid waveforms for precessing quasi-circular binary systems
• Learning Post-Newtonian Corrections from Numerical Relativity
• Plunge-Merger-Ringdown Tests of General Relativity with GW250114
• The influence of the mean anomaly on the dynamical quantities of binary black hole mergers in eccentric orbits
• A Carillon of Black Holes
• AInstein: Numerical Einstein Metrics via Machine Learning
• Search for gravitational waves from binary black hole inspiral, merger and ringdown
• The Emergence of Gravitational Wave Science: 100 Years of Development of Mathematical Theory, Detectors, Numerical Algorithms, and Data Analysis Tools
• Time-like hypersurfaces of prescribed mean extrinsic curvature
• New numerical framework for the generalized Baumgarte-Shapiro-Shibata-Nakamura formulation: The vacuum case for spherical symmetry
• Back reaction of the gravitational radiation on the metric of spacetime
• A (gravitational) toy story
• Numerical Relativity, Holography and the Quantum Null Energy Condition
• The Fourth RIT binary black hole simulations catalog: Extension to Eccentric Orbits
• Gravitational waves from black-hole mergers
• A Tale of Two Jets
• Summary of GR18 Numerical Relativity parallel sessions (B1/B2 and B2), Sydney, 8-13 July 2007
• Deep Residual Error and Bag-of-Tricks Learning for Gravitational Wave Surrogate Modeling
• Fast Waveform Generation for Gravitational Waves using Evolutionary Algorithms
• Classical gravitational scattering in the relativistic Kepler problem
• Los agujeros negros y las ondas del Doctor Einstein
• Frozen-In Gravitational Fields
• AthenaK simulations of the binary black hole merger GW150914
• The last stages of evolution of close binaries composed of compact companions
• Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime
• Numerical and analytical methods for asymptotically flat spacetimes
• Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries
• superB/NRPy: Scalable, Task-Based Numerical Relativity for 3G Gravitational Wave Science
• Perturbative Analytical Construction of Bowen-York Initial Data for Binary Black Holes up to Third Order in Spin and Linear Momentum