  The stationary, spherically symmetric accretion of dark energy onto a
Schwarzschild black hole is considered in terms of relativistic hydrodynamics.
The approximation of an ideal fluid is used to model the dark energy. General
expressions are derived for the accretion rate of an ideal fluid with an
arbitrary equation of state p=p(\rho) onto a black hole. The black hole mass
was found to decrease for the accretion of phantom energy. The accretion
process is studied in detail for two dark energy models that admit an
analytical solution: a model with a linear equation of state,
p=\alpha(\rho-\rho_0), and a Chaplygin gas. For one of the special cases of a
linear equation of state, an analytical expression is derived for the accretion
rate of dark energy onto a moving and rotating black hole. The masses of all
black holes are shown to approach zero in cosmological models with phantom
energy in which the Big Rip scenario is realized.
