SIMBAD references

In an early work, the Rossby wave instability was proposed to explain the variability thought to originate in the close vicinity of black holes but this was done in the pseudo-Newtonian approach. Here we present the first general relativistic (GR) hydrodynamics simulations of this instability not only proving its theorized existence in a full GR environment but also studying the effect of the strong gravity on the instability. To that end, we performed a set of simulations increasingly closer to the black hole with our new GR version of the MPI-AMRVAC code. This allows us to study the minute changes in the behaviour of the instability. We found that a pseudo-Newtonian approach gives adequate results provided that the time-shifting induced by the black hole gravity is taken into account. Hence, to view the disc as a distant observer would, a full GR ray-tracing post-treatment of the simulations is a must.