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

@article{Alcubierre2001SimpleEO,
  title={Simple excision of a black hole in 3 + 1 numerical relativity},
  author={Miguel Alcubierre and Bernd Bruegmann},
  journal={Physical Review D},
  year={2001},
  volume={63},
  pages={104006}
}
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 and show how one can obtain accurate, long-term stable numerical evolutions. 

Figures from this paper

Novel finite-differencing techniques for numerical relativity: application to black-hole excision

We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for numerical relativity, in particular for their use in

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

Modifications for numerical stability of black hole evolution

We experiment with several new modifications for the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the Einstein field equations and demonstrate how these modifications affect the stability

Numerical modeling of black holes as sources of gravitational waves in a nutshell

Abstract. These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves. Main topics are the

Finite difference schemes for second order systems describing black holes

In the harmonic description of general relativity, the principal part of Einstein's equations reduces to 10 curved space wave equations for the components of the space-time metric. We present

Binary black-hole evolutions of excision and puncture data

We present a new numerical code developed for the evolution of binary black-hole spacetimes using different initial data and evolution techniques. The code is demonstrated to produce state-of-the-art

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

Moving black holes via singularity excision

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

Toward a dynamical shift condition for unequal mass black hole binary simulations

Moving puncture simulations of black hole binaries rely on a specific gauge choice that leads to approximately stationary coordinates near each black hole. Part of the shift condition is a damping

Colliding Black Holes and Gravitational Waves

This article presents a summary of numerical simulations of black-hole spacetimes in the framework of general relativity. The first part deals with the 3+1 decomposition of generic spacetimes as well
...

References

SHOWING 1-10 OF 18 REFERENCES

In Gravitation: an introduction to current research

  • 1962

Classical and Quantum Gravity 4

  • 1119
  • 1987

Physical Review D 59

  • 024007
  • 1999

Phys

  • Rev. Lett. 69, 1845
  • 1992

Phys Rev D 54

  • 4929
  • 1996

Phys

  • Rev. D 17, 2529
  • 1978

Class

  • Quantum Grav. 16, 991
  • 1999

Phys

  • Rev. D 17, 1945
  • 1978

Phys

  • Rev. D 61, 044012
  • 2000

Phys

  • Rev. D 61, 064001
  • 2000