Initial Data and Coordinates for Multiple Black Hole Systems

Abstract

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme preserves the Kerr-Schild form near the holes, it selects out the behaviour of null rays near the holes, may simplify horizon tracking, and may prove useful in computational applications. For computational evolution, a discussion of coordinates (lapse function and shift vector) is given which preserves some of the properties of the single-hole Kerr-Schild form.

References in corpus (2)

• A simple construction of initial data for multiple black holes
• Black Hole Data via a Kerr-Schild Approach

Cited by in corpus (75)

• A single-domain spectral method for black hole puncture data
• Introduction to Isolated Horizons in Numerical Relativity
• Initial Data for Numerical Relativity
• Numerical Relativity and Compact Binaries
• Spectral Methods for Numerical Relativity
• Numerical Relativity: A review
• Second order gauge invariant gravitational perturbations of a Kerr black hole
• Binary-black-hole initial data with nearly-extremal spins
• Excision boundary conditions for black hole initial data
• Binary black-hole evolutions of excision and puncture data
• Ultra Relativistic Particle Collisions
• Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations
• Simulating binary neutron stars: dynamics and gravitational waves
• Binary black holes in circular orbits. I. A global spacetime approach
• Black Hole Excision for Dynamic Black Holes
• Simulations of non-equal mass black hole binaries with spectral methods
• Corotating and irrotational binary black holes in quasi-circular orbits
• Grazing Collisions of Black Holes via the Excision of Singularities
• Improved numerical stability of stationary black hole evolution calculations
• Quasi-circular Orbits for Spinning Binary Black Holes
• Comparing initial-data sets for binary black holes
• Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
• Binary black hole initial data from matched asymptotic expansions
• Conformal Thin-Sandwich Solver for Generic Initial Data
• A Pseudospectral Method for Gravitational Wave Collapse
• Status of black-hole-binary simulations for gravitational-wave detection
• Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
• Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data
• Solving the Initial Value Problem of two Black Holes
• A double-domain spectral method for black hole excision data
• Improved initial data for black hole binaries by asymptotic matching of post-Newtonian and perturbed black hole solutions
• Self-lensing flares from black hole binaries I: general-relativistic ray tracing of black hole binaries
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Physics and Initial Data for Multiple Black Hole Spacetimes
• Circumbinary Disk Accretion into Spinning Black Hole Binaries
• Growth of accretion driven scalar hair around Kerr black holes
• Black Hole-Neutron Star Binaries in General Relativity: Quasiequilibrium Formulation
• Approximate Analytical Solutions to the Initial Data Problem of Black Hole Binary Systems
• The initial value problem as it relates to numerical relativity
• Superposed metric for spinning black hole binaries approaching merger
• Initial data for neutron star binaries with arbitrary spins
• Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions
• Self-intersecting marginally outer trapped surfaces
• Perturbations of the Kerr spacetime in horizon penetrating coordinates
• Finding apparent horizons and other two-surfaces of constant expansion
• Generic Tracking of Multiple Apparent Horizons with Level Flow
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• A numerical testbed for singularity excision in moving black hole spacetimes
• A 3+1 Computational Scheme for Dynamic Spherically Symmetric Black Hole Spacetimes -- I: Initial Data
• Including realistic tidal deformations in binary black-hole initial data
• Hydro-without-Hydro Framework for Simulations of Black Hole-Neutron Star Binaries
• A spectral method algorithm for numerical simulations of gravitational fields
• Time-symmetric initial data for binary black holes in numerical relativity
• Binary black hole evolutions of approximate puncture initial data
• Close limit evolution of Kerr-Schild type initial data for binary black holes
• Kerr Black Holes and Nonlinear Radiation Memory
• Boosted Schwarzschild Metrics from a Kerr-Schild Perspective
• A boosted Kerr black hole solution and the structure of a general astrophysical black hole
• Gauge fixing for the simulation of black hole spacetimes
• Toward computing gravitational initial data without elliptic solvers
• Asymptotics of solutions of a hyperbolic formulation of the constraint equations
• Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations
• Junction Conditions and local Spacetimes in General Relativity
• Kerr-Schild type initial data for black holes with angular momenta
• Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations
• Quasistationary hair for binary black hole initial data in scalar Gauss-Bonnet gravity
• Black hole initial data from a non-conformal decomposition
• Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints
• Modifications for numerical stability of black hole evolution
• Gravitational Perturbations of the Kerr black hole due to arbitrary sources
• Trumpet Initial Data for Boosted Black Holes
• The initial value problem in numerical relativity
• Area Invariance of Apparent Horizons under Arbitrary Boosts
• Momentum constraint relaxation
• Aliasing Instabilities in the Numerical Evolution of the Einstein Field Equations