Abstract

The problem of non-radial oscillations of stars can be formulated as a problem of resonant scattering of gravitational waves incident on the potential barrier generated by the space-time curvature. This approach discloses some unexpected correspondences between the theory of perturbations of stars and the theory of quantum mechanics. New relativistic effects are predicted, as the resonant behaviour of the axial modes in slowly rotating stars, due to the coupling with the polar modes induced by the Lense-Thirring effect.

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