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Black Hole in a Radiation-Dominated Universe
Authors:E O Babichev  V I Dokuchaev  Yu N Eroshenko
Institution:1.Laboratoire de Physique Theorique,Universite Paris-Saclay,Paris,France;2.Institute for Nuclear Research,Russian Academy of Sciences,Moscow,Russia;3.MEPhI National Research Nuclear University,Moscow,Russia
Abstract:We study a black hole in an expanding Universe during the radiation-dominated stage. In particular, such a black hole may be of the primordial origin. In the case when the black hole radius is much smaller than the cosmological horizon, we found a self-consistent solution for the metric and the matter distribution and its velocity far from the black hole. At distances much smaller than the cosmological horizon our solution coincides with the previously obtained solution for quasi-stationary accretion. Our results can be applied, in particular, for the formation of dark matter density spikes around primordial black holes, and for the evolution of dark matter clumps during the radiation-dominated stage.
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