  We formulate and solve the problem of spherically symmetric, steady state,
adiabatic accretion onto a Schwarzschild-like black hole obtained recently. We
derive the general analytic expressions for the critical points, the critical
velocity, the critical speed of sound, and subsequently the mass accretion
rate. The case for polytropic gas is discussed in detail. We find the parameter
characterizing the breaking of Lorentz symmetry will slow down the mass
accretion rate, while has no effect on the gas compression and the temperature
profile below the critical radius and at the event horizon.
