Wave zone extraction of gravitational radiation in three-dimensional numerical relativity

@article{Fiske2005WaveZE,
  title={Wave zone extraction of gravitational radiation in three-dimensional numerical relativity},
  author={David R. Fiske and John G. Baker and James R. van Meter and Dae-Il Choi and Joan M. Centrella},
  journal={Physical Review D},
  year={2005},
  volume={71},
  pages={104036}
}
We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms last for multiple periods and are very accurate, showing a peak error to peak amplitude ratio of 2% or better. Our approach includes defining the Weyl scalar {psi}{sub 4} in terms of a three-plus-one decomposition of the Einstein equations; applying, for the first time, a novel algorithm due to Misner for computing… 

Figures from this paper

Gravitational wave extraction based on Cauchy–characteristic extraction and characteristic evolution

We implement a code to find the gravitational news at future null infinity by using data from a Cauchy code as boundary data for a characteristic code. This technique of Cauchy–characteristic

Extraction of gravitational waves in numerical relativity

TLDR
A number of methods have been developed over the years to “extract” the radiative part of the solution from a numerical simulation and these include: quadrupole formulas, gauge-invariant metric perturbations, Weyl scalars, and characteristic extraction.

Where post-Newtonian and numerical-relativity waveforms meet

We analyze numerical-relativity (NR) waveforms that cover nine orbits (18 gravitational-wave cycles) before merger of an equal-mass system with low eccentricity, with numerical uncertainties of 0.25

Accurate gravitational waveforms from binary black-hole systems

We examine various topics involved in the creation of accurate theoretical gravitational waveforms from binary black-hole systems. In Chapter 2 a pseudospectral numerical code is applied to a set of

How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?

TLDR
A method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge-Wheeler-Zerilli perturbation formalism, and analysis of the quasinormal frequencies of the extracted waves shows the possibility that different choices in the wave extraction procedure at a fixed and finite distance may result in relative differences in the waves.

Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision

We present long-term-stable and convergent evolutions of head-on black-hole collisions and extraction of gravitational waves generated during the merger and subsequent ring-down. The new ingredients

Binary Black Holes, Gravitational Waves, and Numerical Relativity

The final merger of comparable mass binary black holes produces an intense burst of gravitational radiation and is one of the strongest sources for both ground-based and space-based gravitational

Towards a wave-extraction method for numerical relativity. IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework

We present a numerical study of the evolution of a nonlinearly disturbed black hole described by the Bondi-Sachs metric, for which the outgoing gravitational waves can readily be found using the news

Spacelike gravitational radiation extraction from rotating binary black holes

We introduce an alternate method for gravitational radiation extraction for binary black hole mergers where we do not use a single extraction radius at the intermediate field region but instead use a

Spectral Cauchy-characteristic extraction of the gravitational wave news function

We present an improved spectral algorithm for Cauchy-characteristic extraction and characteristic evolution of gravitational waves in numerical relativity. The new algorithms improve spectral

References

SHOWING 1-10 OF 23 REFERENCES

Astrophysical sources for ground-based gravitational wave detectors, Philadelphia, Pennsylvania 30 October-1 November 2000

As the 21st century begins, gravitational wave astronomy is poised for unprecedented expansion and discovery. This workshop focussed on ground-based gravitational wave detectors and the astrophysical

The Mathematical Theory of Black Holes

In a course of lectures on the ‘underlying mathematical structures of classical gravitation theory’ given in 1978, Brandon Carter began with the statement ‘If I had been asked five years ago to

THE ASTROPHYSICS OF GRAVITATIONAL WAVE SOURCES

and E

  • S. adn Ryoji Takahashi, Phys. Rev. D 64, 061501
  • 2001

Phys

  • Rev. D 61, 087501
  • 2000

Class

  • Quant. Grav. p. L149
  • 2000

and R

  • Takahashi
  • 2004

Phys

  • Rev. D 65, 124012
  • 2002

Phys

  • Rev. D 59, 024007
  • 1999

Class

  • Quant. Grav. 20, 3729
  • 2003