Numerical simulation of orbiting black holes

Abstract

We present numerical simulations of binary black hole systems which for the first time last for about one orbital period for close but still separate black holes as indicated by the absence of a common apparent horizon. An important part of the method is the construction of comoving coordinates, in which both the angular and radial motion is minimized through a dynamically adjusted shift condition. We use fixed mesh refinement for computational efficiency.

4 pages, 4 figures; several significant changes to presentation for published version

References in corpus (25)

• Evolutions in 3D numerical relativity using fixed mesh refinement
• Gauge conditions for long-term numerical black hole evolutions without excision
• A simple construction of initial data for multiple black holes
• Gravitational wave astronomy
• Modeling gravitational radiation from coalescing binary black holes
• Black Hole Excision for Dynamic Black Holes
• Three-dimensional initial data for the collision of two black holes II: Quasi-circular orbits for equal-mass black holes
• Simple excision of a black hole in 3+1 numerical relativity
• Three dimensional numerical relativity: the evolution of black holes
• The Innermost Stable Circular Orbit of Binary Black Holes
• Binary Black Hole Mergers in 3d Numerical Relativity
• Grazing Collisions of Black Holes via the Excision of Singularities
• Critical Collapse of the Massless Scalar Field in Axisymmetry
• Circular orbits of corotating binary black holes: comparison between analytical and numerical results
• Plunge waveforms from inspiralling binary black holes
• Hydrodynamic Simulations in 3+1 General Relativity
• The 3D Grazing Collision of Two Black Holes
• Gravitational waves from black hole collisions via an eclectic approach
• Quasi-equilibrium binary black hole sequences for puncture data derived from helical Killing vector conditions
• Test-beds and applications for apparent horizon finders in numerical relativity
• Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensions
• Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries
• Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector
• Impact of densitized lapse slicings on evolutions of a wobbling black hole
• Adaptive mesh refinement approach to construction of initial data for black hole collisions

Cited by in corpus (141)

• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• Isolated and dynamical horizons and their applications
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Numerical Relativity Using a Generalized Harmonic Decomposition
• Calibration of Moving Puncture Simulations
• A single-domain spectral method for black hole puncture data
• Spinning-black-hole binaries: The orbital hang up
• Black-hole binaries, gravitational waves, and numerical relativity
• Binary black hole merger dynamics and waveforms
• How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
• Exploring black hole superkicks
• Compact binary evolutions with the Z4c formulation
• Accurate black hole evolutions by fourth-order numerical relativity
• Fully General Relativistic Simulations of Black Hole-Neutron Star Mergers
• Binary black-hole evolutions of excision and puncture data
• High-spin binary black hole mergers
• Where post-Newtonian and numerical-relativity waveforms meet
• Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
• Tidal effects in binary neutron star coalescence
• The final mass and spin of black hole mergers
• Unequal Mass Binary Black Hole Plunges and Gravitational Recoil
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Numerical relativity simulations of binary neutron stars
• The last orbit of binary black holes
• Geometry and Regularity of Moving Punctures
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Numerical relativity simulations of neutron star merger remnants using conservative mesh refinement
• Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project
• Introduction to dynamical horizons in numerical relativity
• Modeling kicks from the merger of non-precessing black-hole binaries
• Binary black hole mergers: large kicks for generic spin orientations
• Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics
• Effective field theory calculation of second post-Newtonian binary dynamics
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Gravitational Wave Recoil and the Retention of Intermediate Mass Black Holes
• Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
• Mergers of binary neutron stars with realistic spin
• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• Testing outer boundary treatments for the Einstein equations
• Eccentric binary neutron star mergers
• Binary black hole late inspiral: Simulations for gravitational wave observations
• Accuracy of numerical relativity waveforms from binary neutron star mergers and their comparison with post-Newtonian waveforms
• Black-hole binary simulations: the mass ratio 10:1
• Numerical evolutions of a black hole-neutron star system in full General Relativity: I. Head-on collision
• Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
• Numerical Relativity of Compact Binaries in the 21st Century
• Accurate Evolution of Orbiting Binary Black Holes
• The numerical relativity breakthrough for binary black holes
• Coalescence of black hole--neutron star binaries
• Time Step Size Limitation Introduced by the BSSN Gamma Driver
• Golden Binary Gravitational-Wave Sources: Robust Probes of Strong-Field Gravity
• Eccentric black hole mergers and zoom-whirl behavior from elliptic inspirals to hyperbolic encounters
• Summation by parts and dissipation for domains with excised regions
• Black Hole Excision with Multiple Grid Patches
• Dynamical evolution of quasi-circular binary black hole data
• The NINJA-2 project: Detecting and characterizing gravitational waveforms modelled using numerical binary black hole simulations
• Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
• AMR, stability and higher accuracy
• Implications of the Gravitational Wave Event GW150914
• Second release of the CoRe database of binary neutron star merger waveforms
• Understanding the fate of merging supermassive black holes
• Status of NINJA: the Numerical INJection Analysis project
• Gravitational waves from merging compact binaries
• The Lazarus Project. II. Spacelike extraction with the quasi-Kinnersley tetrad
• Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Binary black holes on a budget: Simulations using workstations
• Evolving a puncture black hole with fixed mesh refinement
• Higher harmonics increase LISA's mass reach for supermassive black holes
• Comparison between numerical relativity and a new class of post-Newtonian gravitational-wave phase evolutions: the non-spinning equal-mass case
• Black hole puncture initial data with realistic gravitational wave content
• Toward a dynamical shift condition for unequal mass black hole binary simulations
• How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
• Black hole evolution with the BSSN system by pseudo-spectral methods
• Numerical evolution of multiple black holes with accurate initial data
• Adaptive Mesh Refinement for Coupled Elliptic-Hyperbolic Systems
• Long term black hole evolution with the BSSN system by pseudospectral methods
• Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
• Multigrid elliptic equation solver with adaptive mesh refinement
• The Midpoint Rule as a Variational--Symplectic Integrator. I. Hamiltonian Systems
• Accuracy requirements for the calculation of gravitational waveforms from coalescing compact binaries in numerical relativity
• Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data
• A Simple method to set up low eccentricity initial data for moving puncture simulations
• Rotating neutron stars with non-barotropic thermal profile
• Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions
• Numerical black hole initial data with low eccentricity based on post-Newtonian orbital parameters
• Numerical method for binary black hole/neutron star initial data: Code test
• Full 3D Numerical Relativity Simulations of Neutron Star -- Boson Star Collisions with BAM
• A pseudospectral matrix method for time-dependent tensor fields on a spherical shell
• Dynamical shift condition for unequal mass black hole binaries
• Gravitational wave burst search in the Virgo C7 data
• Radiation from low-momentum zoom-whirl orbits
• The discrete energy method in numerical relativity: Towards long-term stability
• The Final Merger of Black-Hole Binaries
• A Quasi-Linear Diffusion Model for Resonant Wave-Particle Instability in Homogeneous Plasma
• Towards a wave--extraction method for numerical relativity: III. Analytical examples for the Beetle--Burko radiation scalar
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• Post-Newtonian Initial Data with Waves: Progress in Evolution
• Alternatives to standard puncture initial data for binary black hole evolution
• Finite differencing second order systems describing black hole spacetimes
• Parameter estimation of compact binaries using the inspiral and ringdown waveforms
• The periodic standing-wave approximation: eigenspectral computations for linear gravity and nonlinear toy models
• Quasi-circular orbits of conformal thin-sandwich puncture binary black holes
• Excising das All: Evolving Maxwell waves beyond scri
• Adaptive hp-Refinement for Spectral Elements in Numerical Relativity
• Horizon Pretracking
• Incorporating information from source simulations into searches for gravitational-wave bursts
• The periodic standing-wave approximation: nonlinear scalar fields, adapted coordinates, and the eigenspectral method
• Increasing the Accuracy of Binary Neutron Star Simulations with an improved Vacuum Treatment
• Are moving punctures equivalent to moving black holes?
• Adaptive Mesh Refinement for Characteristic Grids
• Boson star head-on collisions with constraint-violating and constraint-satisfying initial data
• Numerical modeling of black holes as sources of gravitational waves in a nutshell
• Excising a boosted rotating black hole with overlapping grids
• A spectral method algorithm for numerical simulations of gravitational fields
• Generalized harmonic spatial coordinates and hyperbolic shift conditions
• Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition
• Conformal thin-sandwich puncture initial data for boosted black holes
• Numerical stability of the AA evolution system compared to the ADM and BSSN systems
• A Numerical Study of Boson Star Binaries
• Extreme Gravitational Interactions in the Problem of Three Black Holes in General Relativity
• Solving the Hamiltonian constraint for 1+log trumpets
• Puncture black hole initial data: a single domain Galerkin-Collocation method for trumpet and wormhole data sets
• Constraint preserving boundary conditions for the linearized BSSN formulation
• Hamiltonian Relaxation
• Exploring the Dynamics of General Relativistic Binary-Single and Binary-Binary Encounters of Black Holes
• Approaching the black hole by numerical simulations
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
• Influence of gravitational waves on circular moving particles
• Numerical Relativity Estimates of the Remnant Recoil Velocity in Binary Neutron Star Mergers
• Coalescing binaries as possible standard candles
• ExaGRyPE: Numerical General Relativity Solvers Based upon the Hyperbolic PDEs Solver Engine ExaHyPE
• Connecting Numerical Relativity and Data Analysis of Gravitational Wave Detectors
• HPC-driven computational reproducibility in numerical relativity codes: A use case study with IllinoisGRMHD
• Static charged fluid around a massive magnetic dipole
• Gravitational waves from black-hole mergers