Abstract
The growth of a black hole by radiation accretion in the early Universe is analyzed in the particular case in which the inflow of radiation is purely radial. This is done by generalizing the Einstein-Strauss vacuole model to the case of a radiation-filled universe. It is shown that, under this circumstance, the black hole tends to grow at the same rate as the particle horizon of the universe; this corresponds to an upper limit to the accretion rate.
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