An ADAF in the Kerr metric: propagation of a wave pattern

Time evolution of an advection-dominated accretion flow is explored in terms of relativistic fluid equations. An axially symmetric, vertically averaged mean flow is constructed and then perturbed. An axisymmetric pattern is followed as it propagates in the form of a wave towards the horizon of a rotating (Kerr) black hole. Several assumptions are relaxed in comparison with previous works (Manmoto et al. 1996).