# 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.

## 95 Citations

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

- Physics
- 2003

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

- Physics
- 2002

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

- Physics
- 2012

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

- Physics
- 2007

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

- Mathematics
- 2006

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

- Physics
- 2007

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

- Physics
- 2001

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

- Physics
- 2003

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

- Physics
- 2009

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

- Physics
- 2009

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

### 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