Abstract

Stellar oscillation under the combined influences of incident gravitational wave and radiation loss is studied in a simple toy model. The star is approximated as a uniform density ellipsoid in the Newtonian gravity including radiation damping through quadrupole formula. The time evolution of the oscillation is significantly controlled by the incident wave amplitude h, frequency ν and damping time τ. If a combination hντ exceeds a threshold value, which depends on the resonance mode, resonant growth is realized.

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