Resonant growth of stellar oscillations by incident gravitational waves
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 and damping time τ. If a combination h τ exceeds a threshold value, which depends on the resonance mode, the resonant growth is realized.
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