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.
21 pages, 21 figures, RevTex, accepted by PRD; minor updates
References in corpus (31)
- Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
- 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
- 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
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity
- The last orbit of binary 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 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
- General Relativistic Binary Merger Simulations and Short Gamma Ray Bursts
- Analytical Representation of a Black Hole Puncture Solution
- Quasiequilibrium black hole-neutron star binaries in general relativity
- Binary black holes on a budget: Simulations using workstations
- Quasiequilibrium sequences of black-hole--neutron-star binaries in general relativity
- Approximate initial data for binary black holes
- Eccentricity content of binary black hole initial data
Cited by in corpus (15)
- 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
- Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
- Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
- Binary black hole mergers in gaseous disks: Simulations in general relativity
- Three-body equations of motion in successive post-Newtonian approximations
- The trumpet solution from spherical gravitational collapse with puncture gauges
- NADA: A new code for studying self-gravitating tori around black holes
- 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
- Bondi Accretion in Trumpet Geometries
- Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
- Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing