Moving Black Holes in 3D
arXiv:gr-qc/9710138 · doi:10.1103/PhysRevD.57.4778
Abstract
We model a radiating, moving black hole in terms of a worldtube-nullcone boundary value problem. We evolve this data in the region interior to the worldtube but exterior to a trapped surface by means of a characteristic evolution based upon a family of ingoing null hypersurfaces. Data on the worldtube is induced from a Schwarzschild spacetime but the worldtube is allowed to move relative to the static Schwarzschild trajectories. When the worldtube is stationary (static or rotating in place), a distorted black hole inside it evolves to equilibrium with the Schwarzschild boundary. A boost of the worldtube with respect to the Schwarzschild black hole does not affect these results. The code also stably tracks an unlimited number of orbits when the worldtube wobbles periodically. The work establishes that characteristic evolution can evolve a spacetime with a distorted black hole moving on a 3-dimensional grid with the controlled accuracy and long term stability necessary to investigate new facets of black hole physics.
11 pages + 6 figures
References in corpus (5)
Cited by in corpus (35)
- Solving Einstein's Equations With Dual Coordinate Frames
- Nonlinear Evolution and Final Fate of Charged Anti-de Sitter Black Hole Superradiant Instability
- Stable characteristic evolution of generic 3-dimensional single-black-hole spacetimes
- Stability of general-relativistic accretion disks
- Characteristic Evolution and Matching
- A Characteristic Extraction Tool for Gravitational Waveforms
- Relativistic Hydrodynamic Evolutions with Black Hole Excision
- Computing the merger of black-hole binaries: the IBBH problem
- The incorporation of matter into characteristic numerical relativity
- Characteristic Evolution and Matching
- Linearized solutions of the Einstein equations within a Bondi-Sachs framework, and implications for boundary conditions in numerical simulations
- Moving black holes via singularity excision
- Imprints of accretion on gravitational waves from black holes
- The Asymmetric Merger of Black Holes
- Numerical relativity with characteristic evolution, using six angular patches
- Gravitational wave extraction based on Cauchy-characteristic extraction and characteristic evolution
- Holographic Bubbles with Jecco: Expanding, Collapsing and Critical
- Gravitational waveforms with controlled accuracy
- A framework for large-scale relativistic simulations in the characteristic approach
- Adaptive Mesh Refinement for Characteristic Codes
- Characteristic Evolution and Matching
- Impact of densitized lapse slicings on evolutions of a wobbling black hole
- On characteristic initial data for a star orbiting a black hole
- Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence
- Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces
- Complete null data for a black hole collision
- Gravitational Waves from a Fissioning White Hole
- The affine-null metric formulation of Einstein's equations
- Towards a wave-extraction method for numerical relativity: IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework
- First-order quasilinear canonical representation of the characteristic formulation of the Einstein equations
- Numerical Relativity in 3+1 Dimensions
- The 3-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity
- A numerical testbed for singularity excision in moving black hole spacetimes
- Well-posed first-order reduction of the characteristic problem of the linearized Einstein equations
- Slowly rotating Kerr metric derived from the Einstein equations in affine-null coordinates