Relativistic hydrodynamics in the presence of puncture black holes
arXiv:0708.2436 · doi:10.1103/PhysRevD.76.104021
Abstract
Many of the recent numerical simulations of binary black holes in vacuum adopt the moving puncture approach. This successful approach avoids the need to impose numerical excision of the black hole interior and is easy to implement. Here we wish to explore how well the same approach can be applied to moving black hole punctures in the presence of relativistic hydrodynamic matter. First, we evolve single black hole punctures in vacuum to calibrate our BSSN (Baumgarte-Shapiro-Shibata-Nakamura) implementation and to confirm that the numerical solution for the exterior spacetime is invariant to any ``junk'' (i.e., constraint-violating) initial data employed in the black hole interior. Then we focus on relativistic Bondi accretion onto a moving puncture Schwarzschild black hole as a numerical testbed for our high-resolution shock-capturing relativistic hydrodynamics scheme. We find that the hydrodynamical equations can be evolved successfully in the interior without imposing numerical excision. These results help motivate the adoption of the moving puncture approach to treat the binary black hole-neutron star problem using conformal thin-sandwich initial data.
arXiv comment21 pages, 21 figures, RevTex, accepted by PRD; minor updates
References in corpus (60)
- 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
- On the Numerical Integration of Einstein's Field Equations
- Short-Hard Gamma-Ray Bursts
- Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
- A simple construction of initial data for multiple black holes
- Inspiral, merger and ring-down of equal-mass black-hole binaries
- Total recoil: the maximum kick from nonspinning black-hole binary inspiral
- Supermassive recoil velocities for binary black-hole mergers with antialigned spins
- Merger of binary neutron stars to a black hole: Disk mass, short gamma-ray bursts, and quasinormal mode ringing
- Spinning-black-hole binaries: The orbital hang up
- Merger of binary neutron stars with realistic equations of state in full general relativity
- Numerical Relativity and Compact Binaries
- 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
- Solving Einstein's Equations With Dual Coordinate Frames
- Getting a kick out of numerical relativity
- Reducing orbital eccentricity in binary black hole simulations
- Spin Flips and Precession in Black-Hole-Binary Mergers
- Gravitational recoil from spinning binary black hole mergers
- Relativistic Magnetohydrodynamics In Dynamical Spacetimes: Numerical Methods And Tests
- Merger of binary neutron stars of unequal mass in full general relativity
- Excision boundary conditions for black hole initial data
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- Unequal Mass Binary Black Hole Plunges and Gravitational Recoil
- Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity
- Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
- The last orbit of binary black holes
- Three-dimensional initial data for the collision of two black holes II: Quasi-circular orbits for equal-mass black holes
- Circular orbits and spin in black-hole initial data
- Challenging the paradigm of singularity excision in gravitational collapse
- Merger of black hole-neutron star binaries in full general relativity
- Binary black hole mergers: large kicks for generic spin orientations
- Spin-orbit interactions in black-hole binaries
- Merger of black hole-neutron star binaries: nonspinning black hole case
- Well-posedness of formulations of the Einstein equations with dynamical lapse and shift conditions
- Binary Black Hole Mergers in 3d Numerical Relativity
- Binary black hole late inspiral: Simulations for gravitational wave observations
- On the gravitational radiation from the collapse of neutron stars to rotating black holes
- Numerical evolutions of a black hole-neutron star system in full General Relativity: I. Head-on collision
- Hydrodynamic Simulations in 3+1 General Relativity
- General Relativistic Binary Merger Simulations and Short Gamma Ray Bursts
- The 3D Grazing Collision of Two Black Holes
- The Dynamical Evolution of Black Hole-Neutron Star Binaries in General Relativity: Simulations of Tidal Disruption
- Where do moving punctures go?
- Analytical Representation of a Black Hole Puncture Solution
- Fully general relativistic simulation of merging binary clusters -- Spatial gauge condition --
- Quasiequilibrium black hole-neutron star binaries in general relativity
- Black hole-neutron star binaries in general relativity: effects of neutron star spin
- Test-beds and applications for apparent horizon finders in numerical relativity
- Trapped Surfaces in Vacuum Spacetimes
- Binary black holes on a budget: Simulations using workstations
- Dynamical Determination of the Innermost Stable Circular Orbit of Binary Neutron Stars
- Quasiequilibrium sequences of black-hole--neutron-star binaries in general relativity
- Vacuum Spacetimes with Future Trapped Surfaces
- Black Hole-Neutron Star Binaries in General Relativity: Quasiequilibrium Formulation
- Approximate initial data for binary black holes
- Eccentricity content of binary black hole initial data
- Conformal-thin-sandwich initial data for a single boosted or spinning black hole puncture
Cited by in corpus (30)
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- The Black Hole Accretion Code
- General relativistic simulations of magnetized binary neutron star mergers
- Fully General Relativistic Simulations of Black Hole-Neutron Star Mergers
- Relativistic Simulations of Black Hole-Neutron Star Mergers: Effects of black-hole spin
- Numerical relativity simulations of binary neutron stars
- Binary Black Hole Mergers in Gaseous Environments: "Binary Bondi" and "Binary Bondi-Hoyle-Lyttleton" Accretion
- Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
- Binary black hole mergers in gaseous disks: Simulations in general relativity
- Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
- Constraint damping for the Z4c formulation of general relativity
- Relativistic Mergers of Supermassive Black Holes and their Electromagnetic Signatures
- Equation of state effects in black hole-neutron star mergers
- Numerical Relativity of Compact Binaries in the 21st Century
- The Current Status of Binary Black Hole Simulations in Numerical Relativity
- Three-body equations of motion in successive post-Newtonian approximations
- Striped Blandford/Znajek jets from advection of small scale magnetic field
- The trumpet solution from spherical gravitational collapse with puncture gauges
- Evolution of the Magnetized, Neutrino-Cooled Accretion Disk in the Aftermath of a Black Hole Neutron Star Binary Merger
- Gravitational Waves from Binary Black Hole Mergers Inside of Stars
- NADA: A new code for studying self-gravitating tori around black holes
- Numerical relativity simulations of thick accretion disks around tilted Kerr black holes
- Numerically solving the relativistic Grad-Shafranov equation in Kerr spacetimes: Numerical techniques
- Collapse of magnetized hypermassive neutron stars in general relativity: Disk evolution and outflows
- Elliptica: a new pseudo-spectral code for the construction of initial data
- Black-Hole Neutron Star Simulations with the BAM code: First Tests and Simulations
- Oppenheimer-Snyder Collapse in Moving-Puncture Coordinates
- Bondi Accretion in Trumpet Geometries
- Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
- Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations