On the non-radial oscillations of slowly rotating stars induced by the Lense-Thirring effect

Details On the non-radial oscillations of slowly rotating stars induced by the Lense-Thirring effect On the non-radial oscillations of slowly rotating stars induced by the Lense-Thirring effect

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991rspsa.433..423c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 433, no. 1888, May 8,

Statistics

Computation

37

Computational Astrophysics, Stellar Oscillations, Stellar Rotation, Coupled Modes, Gravitational Effects, Gravitational Waves, Neutron Stars, Perturbation

Scientific paper

In a star that is rotating so slowly that the distortion of its figure may be ignored, the axial modes of nonradial oscillation exhibiting resonance can be excited by the polar modes of perturbation by the coupling derived from the dragging of the inertial frame by the rotation of the star. The coupling of these two modes of opposite parity is subject to the standard selection rule, Delta(l) = +/- 1. Also, the excitation of (l + 1)-axial mode by the l-polar mode is favored relative to the excitation of the (l = 1) axial mode, in conformity with the 'propensity' rule. As an illustrative example, the excitation of the sextupole axial modes of oscillation by the quadrupole polar perturbations is considered in some detail. It is shown that both the real and the imaginary parts of the characteristic frequency of the quasi-normal modes decrease dramatically with the amplitude of the coupling. The relatively very long damping times of these rotationally induced oscillations may be a decisive factor in their eventual detection in neutron stars following the glitches.

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