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Resonant growth of stellar oscillations by incident gravitational waves

Yasufumi Kojima·Hajime Tanimoto
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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 $ h ντ$ exceeds a threshold value, which depends on the resonance mode, the resonant growth is realized.

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Yasufumi Kojima, Hajime Tanimoto. 2005-06-08. Resonant growth of stellar oscillations by incident gravitational waves. https://doi.org/10.1088/0264-9381%2F22%2F14%2F009

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