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) 1012 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.

Note:

misprints corrected, matches published version

04.20.-q
04.25.D-
04.40.Nr
98.35.Mp
mass: accretion
tensor: Weyl
cosmological constant
black hole: accretion
dark energy
cosmological model: dust

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