Evaporation screening and shielding in accelerating and rotating black holes

Abstract We study the screening effect of Hawking radiation and shielding of particles in the Penrose process in accelerating and rotating black holes. These objects are very interesting as, in addition to the usual horizons of rotating black holes, they have acceleration horizons as well. We study these processes by analysing geodesics for the motion of massive particles in equatorial plane in the field of these black holes by employing the Hamilton–Jacobi method. Further, the effect of these decay processes on the evaporation of black holes is also studied by employing the tunnelling approach and using the tunnelling probability of particles. We establish the dependence of the energy and angular momentum of the particles on the width of classically forbidden regions. If we neglect the acceleration parameter, the corresponding results for the Kerr black hole can be recovered.