Analytical solutions of accreting black holes immersed in a Lambda-CDM model

Understand

The evolution of the mass of a black hole embedded in a universe filled with dark energy and cold dark matter is calculated in a closed form within a test fluid model in a Schwarzschild metric, taking into account the cosmological evolution of both fluids.

• The result describes exactly how accretion asymptotically switches from the matter-dominated to the Lambda-dominated regime.
• For early epochs, the black hole mass increases due to dark matter accretion, and on later epochs the increase in mass stops as dark energy accretion takes over.
• Thus, the unphysical behaviour of previous analyses is improved in this simple exact model.