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 $\nu$ and damping time $\tau$. If a combination $h\nu \tau$ exceeds a threshold value, which depends on the resonance mode, the resonant growth is realized.

arXiv comment11 pages, 6 figures, Accepted for the publication in Classical and Quantum Gravity

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Cited by in corpus (3)

• Coupling of Radial and Axial non-Radial Oscillations of Compact Stars: Gravitational Waves from first-order Differential Rotation
• Stars as resonant absorbers of gravitational waves
• Resonant Locking Between Binary Systems Induced by Gravitational Waves