Moving black holes via singularity excision

@article{Shoemaker2003MovingBH,
  title={Moving black holes via singularity excision},
  author={Deirdre M. Shoemaker and K. L. Smith and Ulrich Sperhake and Pablo Laguna and E Schnetter and D. Fiske Cornell and Penn State and Tuebingen and Maryland.},
  journal={Classical and Quantum Gravity},
  year={2003},
  volume={20},
  pages={3729-3743}
}
We present a singularity excision algorithm appropriate for numerical simulations of black holes moving throughout the computational domain. The method is an extension of the excision procedure previously used to obtain stable simulations of single, non-moving black holes. The excision procedure also shares elements used in recent work to study the dynamics of a scalar field in the background of a single, boosted black hole. The excision method is tested with single black-hole evolutions using… 

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References

SHOWING 1-10 OF 36 REFERENCES

Numerical testbed for singularity excision in moving black hole spacetimes

TLDR
It is shown that some algorithms which are stable for nonboosted black holes become unstable when the boost velocity becomes high, and this solution provides a useful testbed for simulations in full $(3+1)$ dimensions.

Grazing collisions of black holes via the excision of singularities.

We present the first simulations of non-head-on (grazing) collisions of binary black holes in which the singularities are excised from the simulation. Initially equal mass m black holes (spinning or

Moving black holes in 3D

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

A cure for unstable numerical evolutions of single black holes: adjusting the standard ADM equations

Numerical codes based on a direct implementation of the standard ADM formulation of Einstein's equations have generally failed to provide long-term stable and convergent evolutions of black hole

Boosted Three-Dimensional Black-Hole Evolutions with Singularity Excision

Binary black-hole interactions provide potentially the strongest source of gravitational radiation for detectors currently under development. We present some results from the Binary Black Hole Grand

Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations

We present a new many-parameter family of hyperbolic representations of Einstein’s equations, which we obtain by a straightforward generalization of previously known systems. We solve the resulting

Improved numerical stability of stationary black hole evolution calculations

We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical

Simple excision of a black hole in 3 + 1 numerical relativity

We describe a simple implementation of black hole excision in 3+1 numerical relativity. We apply this technique to a Schwarzschild black hole with octant symmetry in Eddington-Finkelstein coordinates

Coordinates and boundary conditions for the general relativistic initial data problem

Using York's method, the author discusses techniques for numerically constructing GR initial data on a Cauchy surface representing spacetimes containing arbitrary numbers of black holes, each with

STABLE CHARACTERISTIC EVOLUTION OF GENERIC THREE-DIMENSIONAL SINGLE-BLACK-HOLE SPACETIMES

We report new results which establish that the accurate 3dimensional numerical simulation of generic single-black-hole spacetimes has been achieved by characteristic evolution with unlimited long