Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...385..630c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 385, Feb. 1, 1992, p. 630-641.
Astronomy and Astrophysics
Astrophysics
33
Neutron Stars, Stellar Gravitation, Stellar Oscillations, Stellar Rotation, Angular Velocity, Gravitational Waves, Stellar Radiation
Scientific paper
The present study reviews and extends the formalism for computing the oscillation frequencies of rapidly rotating stars in the post-Newtonian approximation. The appropriate boundary conditions to be imposed on the post-Newtonian mode solutions and their role in determining the post-Newtonian correction to the mode eigenfrequency are discussed. Numerical results for the post-Newtonian oscillation frequencies are presented. The accuracy of this method is estimated by comparing the post-Newtonian frequencies for nonrotating stars with the full, general-relativistic mode frequencies. The post-Newtonian results are found to agree with the exact ones to within a few percent for typical neutron stars. The frequency corrections for the l = m f-modes of rotating stars are computed, and, in the post-Newtonian approximation, the critical angular velocities where these frequencies vanish are determined.
Cutler C. C.
Lindblom Lee
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