Long Wave Trains of Gravitational Waves from a Vibrating Black Hole

The vibrations of a black hole of mass 31, perturbed from spherical symmetry, have been studied numerically. Initial perturbations of high spherical-harmonic index (1 1) which contain Fourier components of long wavelength (2irM > X 2ir314) produce long-lasting vibrations. The vibrational energy is radiated away gradually as long, nearly sinusoidal wave train of gravitational radiation with angular frequency (27)-1/2 1/31.

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