On the non-radial oscillations of a star. III - A reconsideration of the axial modes

Physics

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Gravitational Waves, Resonance Scattering, Stellar Models, Stellar Oscillations, Wave Scattering, Neutron Stars, Wave Equations

Scientific paper

The nonradial oscillations of a star are of two kinds: those induced by the incidence of polar gravitational waves and those induced by the incidence of axial gravitational waves. These two classes of oscillations differ in one important respect: the incidence of polar gravitational waves excites fluid motions in the star while the incidence of axial gravitational waves does not. On this latter account, the scattering of axial gravitational waves can be reduced to a simple problem in pure scattering by a spherically symmetric static potential (as shown in Chandrasekhar and Ferrari 1991. That, nevertheless, the scattering can, under suitable circumstances, exhibit resonances was overlooked by these authors. In this paper, this oversight is rectified by specifying the circumstances when such resonances can occur and by illustrating those circumstances by considering the scattering by stars of uniform energy density.

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