Three-dimensional numerical relativity: The evolution of black holes.

  title={Three-dimensional numerical relativity: The evolution of black holes.},
  author={Anninos and Mass{\'o} and Seidel and Suen and Towns},
  journal={Physical review. D, Particles and fields},
  volume={52 4},
  • Anninos, Massó, Towns
  • Published 15 March 1995
  • Physics
  • Physical review. D, Particles and fields
We report on a new 3D numerical code designed to solve the Einstein equations for general vacuum spacetimes. This code is based on the standard 3+1 approach using cartesian coordinates. We discuss the numerical techniques used in developing this code, and its performance on massively parallel and vector supercomputers. As a test case, we present evolutions for the first 3D black hole spacetimes. We identify a number of difficulties in evolving 3D black holes and suggest approaches to overcome… 
Numerical relativity and black-hole collisions.
In four lectures I review numerical techniques for solving the Einstein equations on supercomputers, with application to colliding black hole spacetimes. There are two parts to the lectures: (1)
Relativistic hydrodynamic evolutions with black hole excision
We present a numerical code designed to study astrophysical phenomena involving dynamical spacetimes containing black holes in the presence of relativistic hydrodynamic matter. We present evolutions
The numerical relativity breakthrough for binary black holes
The evolution of black-hole (BH) binaries in vacuum spacetimes constitutes the two-body problem in general relativity. The solution of this problem in the framework of the Einstein field equations is
3+1 formalism in General Relativity
The study of new solutions in General Relativity motivated investigations of Cauchy problems for alternative gravitational regimes, which led to the need to elaborate techniques to split the
How to avoid artificial boundaries in the numerical calculation of black hole spacetimes
This is the first of a series of papers describing a numerical implementation of the conformally rescaled Einstein equation, an implementation designed to calculate asymptotically flat spacetimes,
Approaching the Black Hole by Numerical Simulations
Black holes represent extreme conditions of physical laws. Predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently has more
A numerical approach to binary black hole coalescence
The nature of binary black hole coalescence is the final, uncharted frontier of the relativistic Kepler problem. In the United States, binary black hole coalescence has been identified as a
Towards standard testbeds for numerical relativity
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community
Black-hole binaries, gravitational waves, and numerical relativity
Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are
Long term stable integration of a maximally sliced Schwarzschild black hole using a smooth lattice method
We will present results of a numerical integration of a maximally sliced Schwarzschild black hole using a smooth lattice method. The results show no signs of any instability forming during the


International Journal of Modern Physics C: Physics and Computers 4
  • 883
  • 1993
  • Rev. D, in press,
  • 1995
  • Rev. Lett., submitted,
  • 1994
  • Rev. Lett. 69, 1845
  • 1992
  • Rev. D
  • 1994
Computational Astrophysics: Gas Dynamics and Particle Methods, edited
  • 1994