Abstract
A more precise, detailed analysis of the mechanism of energy transfer via gravitational radiation in Fowler's model of the quasistellar sources is presented. To ascertain the upper limit for efficiency, the resonant energy transfer for vibrational and rotational modes of the envelope is computed. In the vibrational mode, the energy transfer is maximal for vibrations perpendicular to the spin axis of the core. For nonresonant gravitational interaction, accelerations acquired by particles on the polar axis and in the spin plane of the core are computed. The latter accelerations dominate for all but ultrarelativistic particles. The calculations do not appear to favor Fowler's proposed polar explosion.

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