Post-Newtonian effects on the oscillations of rotating stars

Details Post-Newtonian effects on the oscillations of rotating stars Post-Newtonian effects on the oscillations of rotating stars

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631...97c&link_type=abstract

(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc

Astronomy and Astrophysics

Astronomy

2

Gravitational Waves, Newton Theory, Relativity, Stellar Oscillations, Stellar Rotation, Angular Velocity, Einstein Equations, Gravitational Fields

Scientific paper

An approximate calculation of the pulsation frequencies of rapidly rotating stars is reported. The formalism developed by Cutler (1991) for computing the structure and pulsation of rotating stars in the post-Newtonian approximation is reviewed and extended. The accuracy of this method is illustrated by comparing the post-Newtonian frequencies with those for nonrotating stars using the full general-relativistic equations. It is shown that the post-Newtonian frequencies agree with the exact ones to within a few percent. It is also found that post-Newtonian effects lower, by up to 8 percent, the ratios of critical angular velocities. Thus, post-Newtonian effects tend to make the gravitational radiation instability more important.

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