Bondi accretion onto cosmological black holes

TL;DR

This paper studies steady Bondi accretion onto cosmological black holes within an Einstein-Straus vacuole, revealing that dark energy suppresses accretion rates and can halt steady accretion in the universe's late stages.

Contribution

It demonstrates how the cosmological constant affects accretion onto black holes, showing conditions under which steady accretion is prevented in the universe's evolution.

Findings

Dark energy damps accretion rates

Steady accretion is halted in the inflation era

Accretion ceases in the late universe phases

Abstract

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 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 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.