Statistics – Computation
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...351..588f&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 351, March 10, 1990, p. 588-600. Research supported by NASA.
Statistics
Computation
70
Computational Astrophysics, Gravitational Collapse, Gravitational Waves, Stellar Gravitation, Finite Difference Theory, Quadrupoles, Stellar Cores, Stellar Rotation
Scientific paper
Quadrupole gravitational radiation formulas 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. For FD calculations, the new quadrupole formulas are all superior to the SQF and capable of producing waveforms free of the high-frequency noise characteristics of its use.
Evans Charles R.
Finn Lee Samuel
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