Determining gravitational radiation from Newtonian self-gravitating systems

Lee S. Finn, C. R. Evans

Research output: Contribution to journalArticle

85 Citations (Scopus)

Abstract

Quadrupole gravitational radiation formulae are tested and compared in a calculation of rotating stellar core collapse. While the standard quadrupole formula (SQF) allows an economical calculation of the waveform in postlinear gravity, it has several shortcomings that become apparent in a finite difference (FD) calculation. These shortcomings are related to the large-moment arm of the quadrupole moment and the two (numerical) time derivatives that separate it from the waveform. These shortcomings lead to high-frequency noise in the SQF waveform. Several alternatives to the SQF are developed. Each is mathematically equivalent to the SQF and applicable to self-gravitating sources. All are intended to reduce either the moment arm by which the source is sampled, the number of time derivatives that are required to determine the waveform, or both. We find that for FD calculations, the new quadrupole formulae are all superior to the SQF and capable of producing waveforms free of the high-frequency noise characteristic of its use.

Original languageEnglish (US)
Pages (from-to)588-600
Number of pages13
JournalAstrophysical Journal
Volume351
Issue number2
DOIs
StatePublished - Mar 10 1990

Fingerprint

gravitational waves
quadrupoles
waveforms
moments
stellar cores
radiation
gravity
calculation
gravitation

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Finn, Lee S. ; Evans, C. R. / Determining gravitational radiation from Newtonian self-gravitating systems. In: Astrophysical Journal. 1990 ; Vol. 351, No. 2. pp. 588-600.
@article{4ce75158849a4ff8a65d46d58bcbeda7,
title = "Determining gravitational radiation from Newtonian self-gravitating systems",
abstract = "Quadrupole gravitational radiation formulae are tested and compared in a calculation of rotating stellar core collapse. While the standard quadrupole formula (SQF) allows an economical calculation of the waveform in postlinear gravity, it has several shortcomings that become apparent in a finite difference (FD) calculation. These shortcomings are related to the large-moment arm of the quadrupole moment and the two (numerical) time derivatives that separate it from the waveform. These shortcomings lead to high-frequency noise in the SQF waveform. Several alternatives to the SQF are developed. Each is mathematically equivalent to the SQF and applicable to self-gravitating sources. All are intended to reduce either the moment arm by which the source is sampled, the number of time derivatives that are required to determine the waveform, or both. We find that for FD calculations, the new quadrupole formulae are all superior to the SQF and capable of producing waveforms free of the high-frequency noise characteristic of its use.",
author = "Finn, {Lee S.} and Evans, {C. R.}",
year = "1990",
month = "3",
day = "10",
doi = "10.1086/168497",
language = "English (US)",
volume = "351",
pages = "588--600",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "IOP Publishing Ltd.",
number = "2",

}

Determining gravitational radiation from Newtonian self-gravitating systems. / Finn, Lee S.; Evans, C. R.

In: Astrophysical Journal, Vol. 351, No. 2, 10.03.1990, p. 588-600.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Determining gravitational radiation from Newtonian self-gravitating systems

AU - Finn, Lee S.

AU - Evans, C. R.

PY - 1990/3/10

Y1 - 1990/3/10

N2 - Quadrupole gravitational radiation formulae are tested and compared in a calculation of rotating stellar core collapse. While the standard quadrupole formula (SQF) allows an economical calculation of the waveform in postlinear gravity, it has several shortcomings that become apparent in a finite difference (FD) calculation. These shortcomings are related to the large-moment arm of the quadrupole moment and the two (numerical) time derivatives that separate it from the waveform. These shortcomings lead to high-frequency noise in the SQF waveform. Several alternatives to the SQF are developed. Each is mathematically equivalent to the SQF and applicable to self-gravitating sources. All are intended to reduce either the moment arm by which the source is sampled, the number of time derivatives that are required to determine the waveform, or both. We find that for FD calculations, the new quadrupole formulae are all superior to the SQF and capable of producing waveforms free of the high-frequency noise characteristic of its use.

AB - Quadrupole gravitational radiation formulae are tested and compared in a calculation of rotating stellar core collapse. While the standard quadrupole formula (SQF) allows an economical calculation of the waveform in postlinear gravity, it has several shortcomings that become apparent in a finite difference (FD) calculation. These shortcomings are related to the large-moment arm of the quadrupole moment and the two (numerical) time derivatives that separate it from the waveform. These shortcomings lead to high-frequency noise in the SQF waveform. Several alternatives to the SQF are developed. Each is mathematically equivalent to the SQF and applicable to self-gravitating sources. All are intended to reduce either the moment arm by which the source is sampled, the number of time derivatives that are required to determine the waveform, or both. We find that for FD calculations, the new quadrupole formulae are all superior to the SQF and capable of producing waveforms free of the high-frequency noise characteristic of its use.

UR - http://www.scopus.com/inward/record.url?scp=0000872289&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000872289&partnerID=8YFLogxK

U2 - 10.1086/168497

DO - 10.1086/168497

M3 - Article

AN - SCOPUS:0000872289

VL - 351

SP - 588

EP - 600

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 2

ER -