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

Abstract

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 function. We compare the gravitational-wave output obtained with the use of the news function in the Bondi-Sachs framework, with that obtained from the Weyl scalars, where the latter are evaluated in a quasi-Kinnersley tetrad. The latter method has the advantage of being applicable to any formulation of Einstein's equations--including the ADM formulation and its various descendants--in addition to being robust. Using the nonlinearly disturbed Bondi-Sachs black hole as a test bed, we show that the two approaches give wave-extraction results which are in very good agreement. When wave extraction through the Weyl scalars is done in a non-quasi-Kinnersley tetrad, the results are markedly different from those obtained using the news function.

Authors:
 [1];  [2];  [3];  [4]
  1. Center for Relativity, University of Texas at Austin, Austin, Texas 78712 (United States)
  2. Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG (United Kingdom)
  3. School of Physics and Astronomy, University of Birmingham, Edgbaston Birmingham B15 2TT (United Kingdom)
  4. Department of Physics, University of Alabama in Huntsville, Huntsville, Alabama 35899 (United States)
Publication Date:
OSTI Identifier:
20776758
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044020; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COMPARATIVE EVALUATIONS; COSMOLOGY; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; GRAVITATIONAL WAVES; NUMERICAL ANALYSIS; SCALARS

Citation Formats

Nerozzi, Andrea, Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG, Bruni, Marco, Dipartimento di Fisica, Universita degli Studi di Roma 'Tor Vergata', via della Ricerca Scientifica 1, 00133 Rome, Re, Virginia, and Burko, Lior M. Towards a wave-extraction method for numerical relativity. IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.044020.
Nerozzi, Andrea, Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG, Bruni, Marco, Dipartimento di Fisica, Universita degli Studi di Roma 'Tor Vergata', via della Ricerca Scientifica 1, 00133 Rome, Re, Virginia, & Burko, Lior M. Towards a wave-extraction method for numerical relativity. IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework. United States. https://doi.org/10.1103/PhysRevD.73.044020
Nerozzi, Andrea, Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG, Bruni, Marco, Dipartimento di Fisica, Universita degli Studi di Roma 'Tor Vergata', via della Ricerca Scientifica 1, 00133 Rome, Re, Virginia, and Burko, Lior M. 2006. "Towards a wave-extraction method for numerical relativity. IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework". United States. https://doi.org/10.1103/PhysRevD.73.044020.
@article{osti_20776758,
title = {Towards a wave-extraction method for numerical relativity. IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework},
author = {Nerozzi, Andrea and Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG and Bruni, Marco and Dipartimento di Fisica, Universita degli Studi di Roma 'Tor Vergata', via della Ricerca Scientifica 1, 00133 Rome and Re, Virginia and Burko, Lior M},
abstractNote = {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 function. We compare the gravitational-wave output obtained with the use of the news function in the Bondi-Sachs framework, with that obtained from the Weyl scalars, where the latter are evaluated in a quasi-Kinnersley tetrad. The latter method has the advantage of being applicable to any formulation of Einstein's equations--including the ADM formulation and its various descendants--in addition to being robust. Using the nonlinearly disturbed Bondi-Sachs black hole as a test bed, we show that the two approaches give wave-extraction results which are in very good agreement. When wave extraction through the Weyl scalars is done in a non-quasi-Kinnersley tetrad, the results are markedly different from those obtained using the news function.},
doi = {10.1103/PhysRevD.73.044020},
url = {https://www.osti.gov/biblio/20776758}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}