Accretion of dark energy onto black holes

Abstract

The stationary accretion of dark energy onto black holes is studied. General expressions are derived for the accretion rate of an ideal fluid with an arbitrary equation of state and for scalar fields. The black hole mass was found to decrease for the accretion of phantom energy with p+ρ<0. We also study the back reaction of accreting matter onto the metrics of a black hole in a perturbative way. The general expressions for corrections to the metric coefficients are found.