Hyper-Eddington mass accretion on to a black hole with super-Eddington luminosity

We perform 1D radiation hydrodynamical simulations to solve accretion flows on to massive black holes (BHs) with a very high rate. Assuming that photon trapping limits the luminosity emerging from the central region to L less than or similar to L-Edd, Inayoshi, Haiman & Ostriker (2016) have shown that an accretion flow settles to a 'hyper-Eddington solution, with a steady and isothermal (T similar or equal to 8000 K) Bondi profile reaching greater than or similar to 5000 times the Eddington accretion rate. M-Edd = L-Edd/c(2). Here, we address the possibility that gas accreting with finite angular momentum forms a bright nuclear accretion disc, with a luminosity exceeding the Eddington limit (1 less than or similar to L/L-Edd less than or similar to 100). Combining our simulations with an analytic model, we find that a transition to steady hyper-Eddington accretion still occurs, as long as the luminosity remains below L/L-Edd less than or similar to 35 (M-BH/10(4)M(circle dot))(3/2)(n(infinity)/10(5) cm(-3))(T-infinity/10(4) K)(-3/2)(r(*)/10(14) cm)(-1/2), where n(infinity) and T-infinity are the density and temperature of the ambient gas, and r(*) is the radius of the photosphere, at which radiation emerges. If the luminosity exceeds this value, accretion becomes episodic. Our results can be accurately recovered in a toy model of an optically thick spherical shell, driven by radiation force into a collapsing medium. When the central source is dimmer than the above critical value, the expansion of the shell is halted and reversed by ram pressure of the collapsing medium, and by shell's weight. Our results imply that rapid, unimpeded hyper-Eddington accretion is possible even if the luminosity of the central source far exceeds the Eddington limit, and can be either steady or strongly episodic.