Bondi accretion onto cosmological black holes

In this paper we investigate a steady accretion within the Einstein-Straus vacuole, in the presence of the cosmological constant. The dark energy damps the mass accretion rate and---above a certain limit---completely stops the steady accretion onto black holes, which, in particular, is prohibited in the inflation era and after (roughly) ${10}^{12}$ years from the big bang (assuming the presently known value of the cosmological constant). Steady accretion would not exist in the late phases of the Penrose's scenario---known as the Weyl curvature hypothesis---of the evolution of the Universe.

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