Excision boundary conditions for black hole initial data
arXiv:gr-qc/0407078 · doi:10.1103/PhysRevD.70.104016
Abstract
We define and extensively test a set of boundary conditions that can be applied at black hole excision surfaces when the Hamiltonian and momentum constraints of general relativity are solved within the conformal thin-sandwich formalism. These boundary conditions have been designed to result in black holes that are in quasiequilibrium and are completely general in the sense that they can be applied with any conformal three-geometry and slicing condition. Furthermore, we show that they retain precisely the freedom to specify an arbitrary spin on each black hole. Interestingly, we have been unable to find a boundary condition on the lapse that can be derived from a quasiequilibrium condition. Rather, we find evidence that the lapse boundary condition is part of the initial temporal gauge choice. To test these boundary conditions, we have extensively explored the case of a single black hole and the case of a binary system of equal-mass black holes, including the computation of quasi-circular orbits and the determination of the inner-most stable circular orbit. Our tests show that the boundary conditions work well.
23 pages, 23 figures, revtex4, corrected typos, added reference, minor content changes including additional post-Newtonian comparison. Version accepted by PRD
References in corpus (1)
Cited by in corpus (147)
- Isolated and dynamical horizons and their applications
- Black holes, gravitational waves and fundamental physics: a roadmap
- Inspiral, merger and ring-down of equal-mass black-hole binaries
- The SXS Collaboration catalog of binary black hole simulations
- High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
- Transition from inspiral to plunge in precessing binaries of spinning black holes
- A 3+1 perspective on null hypersurfaces and isolated horizons
- Black-hole binaries, gravitational waves, and numerical relativity
- Spectral Methods for Numerical Relativity
- Solving Einstein's Equations With Dual Coordinate Frames
- Simulating coalescing compact binaries by a new code SACRA
- Reducing orbital eccentricity in binary black hole simulations
- Binary-black-hole initial data with nearly-extremal spins
- Fully General Relativistic Simulations of Black Hole-Neutron Star Mergers
- Simulations of Binary Black Hole Mergers Using Spectral Methods
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
- Relativistic Simulations of Black Hole-Neutron Star Mergers: Effects of black-hole spin
- The last orbit of binary black holes
- Binary Black-Hole Mergers in Magnetized Disks: Simulations in Full General Relativity
- Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
- Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project
- Circular orbits and spin in black-hole initial data
- Introduction to dynamical horizons in numerical relativity
- Accretion disks around binary black holes of unequal mass: GRMHD simulations near decoupling
- Black hole-neutron star mergers: effects of the orientation of the black hole spin
- Simulations of non-equal mass black hole binaries with spectral methods
- General relativistic simulations of black hole-neutron star mergers: Effects of magnetic fields
- Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
- Reducing orbital eccentricity of precessing black-hole binaries
- Numerical binary black hole collisions in dynamical Chern-Simons gravity
- Simulating merging binary black holes with nearly extremal spins
- Accretion disks around binary black holes of unequal mass: GRMHD simulations of postdecoupling and merger
- Binary black hole mergers in gaseous disks: Simulations in general relativity
- Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method
- Accurate gravitational waveforms for binary-black-hole mergers with nearly extremal spins
- Effective-one-body waveforms for precessing coalescing compact binaries with post-newtonian Twist
- Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
- Filling the holes: Evolving excised binary black hole initial data with puncture techniques
- Modeling the source of GW150914 with targeted numerical-relativity simulations
- A new public code for initial data of unequal-mass, spinning compact-object binaries
- Geometry and dynamics of a tidally deformed black hole
- On the accuracy and precision of numerical waveforms: Effect of waveform extraction methodology
- The Samurai Project: verifying the consistency of black-hole-binary waveforms for gravitational-wave detection
- High accuracy simulations of black hole binaries:spins anti-aligned with the orbital angular momentum
- Where do moving punctures go?
- Exploring New Physics Frontiers Through Numerical Relativity
- Accurate and realistic initial data for black hole-neutron star binaries
- An Improved Gauge Driver for the Generalized Harmonic Einstein System
- Excision without excision: the relativistic turducken
- Coalescence of black hole--neutron star binaries
- The Current Status of Binary Black Hole Simulations in Numerical Relativity
- Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
- Uniqueness and Non-uniqueness in the Einstein Constraints
- New theoretical approaches to black holes
- Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
- Quasiequilibrium black hole-neutron star binaries in general relativity
- Dynamical evolution of quasi-circular binary black hole data
- Relativistic black hole-neutron star binaries in quasiequilibrium: effects of the black hole excision boundary condition
- Accuracy and precision of gravitational-wave models of inspiraling neutron star -- black hole binaries with spin: comparison with numerical relativity in the low-frequency regime
- Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
- Jet launching from binary black hole-neutron star mergers: Dependence on black hole spin, binary mass ratio and magnetic field orientation
- Binary black hole initial data from matched asymptotic expansions
- Understanding the fate of merging supermassive black holes
- Conformal Thin-Sandwich Solver for Generic Initial Data
- Momentum flow in black-hole binaries: II. Numerical simulations of equal-mass, head-on mergers with antiparallel spins
- The SXS Collaboration's third catalog of binary black hole simulations
- Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data
- From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
- Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
- A double-domain spectral method for black hole excision data
- Binary neutron stars: Equilibrium models beyond spatial conformal flatness
- Accuracy of binary black hole waveform models for aligned-spin binaries
- Improved initial data for black hole binaries by asymptotic matching of post-Newtonian and perturbed black hole solutions
- Improvements to the construction of binary black hole initial data
- The Einstein constraints: uniqueness and non-uniqueness in the conformal thin sandwich approach
- Quasiequilibrium sequences of black-hole--neutron-star binaries in general relativity
- Beyond the Bowen-York extrinsic curvature for spinning black holes
- An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
- Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity
- Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes
- Relativistic hydrodynamics in the presence of puncture black holes
- Black hole initial data on hyperboloidal slices
- Construction of initial data for 3+1 numerical relativity
- Numerical simulations of black-hole binaries and gravitational wave emission
- Multi-Domain Spectral Method for Initial Data of Arbitrary Binaries in General Relativity
- The initial value problem as it relates to numerical relativity
- Inner boundary conditions for black hole Initial Data derived from Isolated Horizons
- Quasiequilibrium states of black hole-neutron star binaries in the moving-puncture framework
- An introduction to local Black Hole horizons in the 3+1 approach to General Relativity
- Superposed metric for spinning black hole binaries approaching merger
- On the existence of initial data containing isolated black holes
- Comparison of binary black hole initial data sets
- Electromagnetic precursors to black hole - neutron star gravitational wave events: Flares and reconnection-powered fast-radio transients from the late inspiral
- Learning about compact binary merger: the interplay between numerical relativity and gravitational-wave astronomy
- Approximate initial data for binary black holes
- Numerical method for binary black hole/neutron star initial data: Code test
- Numerical black hole initial data and shadows in dynamical Chern-Simons gravity
- Gauge Drivers for the Generalized Harmonic Einstein Equations
- Numerical implementation of isolated horizon boundary conditions
- Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
- Eccentricity content of binary black hole initial data
- Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era
- Horizon Surface Gravity in Corotating Black Hole Binaries
- Initial data for perturbed Kerr black holes on hyperboloidal slices
- Impact of eccentricity and mean anomaly in numerical relativity mergers
- Non-CMC Solutions to the Einstein Constraint Equations on Asymptotically Euclidean Manifolds with Apparent Horizon Boundaries
- Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
- Quasi-circular orbits of conformal thin-sandwich puncture binary black holes
- Trapping Horizons as inner boundary conditions for black hole spacetimes
- Elliptica: a new pseudo-spectral code for the construction of initial data
- A scalable elliptic solver with task-based parallelism for the SpECTRE numerical relativity code
- Binary black hole circular orbits computed with COCAL
- Including realistic tidal deformations in binary black-hole initial data
- Initial data for black hole-neutron star binaries, with rotating stars
- Late-time tails in nonlinear evolutions of merging black holes
- Excision boundary conditions for the conformal metric
- Perturbational Treatment of the Gravitational Potential Effect on Binary Black Hole Evolution
- Isolated Horizon structures in quasiequilibrium black hole initial data
- Parameter control for eccentric, precessing binary black hole simulations with SpEC
- A hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity
- Conformal thin-sandwich puncture initial data for boosted black holes
- Unified discontinuous Galerkin scheme for a large class of elliptic equations
- Simulating binary black hole mergers using discontinuous Galerkin methods
- Initial data for high-compactness black hole-neutron star binaries
- Bondi-Sachs Energy-Momentum for the CMC Initial Value Problem
- Measuring eccentricity in binary black-hole initial data
- Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
- An excision scheme for black holes in constrained evolution formulations: spherically symmetric case
- An alternative approach to solving the Hamiltonian constraint
- Quasistationary hair for binary black hole initial data in scalar Gauss-Bonnet gravity
- Biased parameter inference of eccentric, spin-precessing binary black holes
- Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
- Generating Initial Data in General Relativity using Adaptive Finite Element Methods
- First Law of Mechanics for Spinning Compact Binaries: Dipolar Order
- Black hole initial data by numerical integration of the parabolic-hyperbolic form of the constraints
- Puncture black hole initial data in the conformal thin-sandwich formalism
- Numerical-relativity surrogate modeling with nearly extremal black-hole spins
- Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
- Shells around black holes: the effect of freely specifiable quantities in Einstein's constraint equations
- Black-hole scattering with numerical relativity: Self-force extraction and post-Minkowskian validation
- The initial value problem in numerical relativity
- Discontinuous Galerkin scheme for elliptic equations on extremely stretched grids
- Parameter control for binary black hole initial data
- On the construction of asymptotically flat initial data in scalar-tensor effective field theory