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

@article{Anninos1995ThreedimensionalNR,
  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},
  year={1995},
  volume={52 4},
  pages={
          2059-2082
        }
}
  • 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

Gauge fixing for the simulation of black hole spacetimes

I consider the initial-boundary-value-problem of nonlinear general relativistic vacuum spacetimes, which today cannot yet be evolved numerically in a satisfactory manner. Specifically, I look at

Free evolution of the hyperboloidal initial value problem in spherical symmetry

The hyperboloidal initial value problem is addressed in the context of Numerical Relativity, motivated by its use of hyperboloidal slices - smooth spacelike slices that reach future null infinity,

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

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

Novel Techniques for Simulation and Analysis of Black Hole Mergers

This dissertation consists of three research topics from numerical relativity: waveforms from inspiral mergers of black hole binaries, recoils from head-on mergers of black holes, and a new
...

References

SHOWING 1-10 OF 52 REFERENCES

Phys

  • Rev. D, in press,
  • 1995

Phys

  • Rev. D
  • 1994

Phys

  • Rev. Lett., submitted,
  • 1994

International Journal of Modern Physics C: Physics and Computers 4

  • 883
  • 1993

Phys

  • Rev. Lett. 69, 1845
  • 1992

Computational Astrophysics: Gas Dynamics and Particle Methods, edited

  • 1994

Phys

  • Rev. Lett. 68, 1097
  • 1992

Phys

  • Rev. D 38, 2419
  • 1988
...