Super-massive black holes (SMBHs) hosted in active galactic nuclei (AGNs) can be characterized by multi-accreting periods as the attractors interact with the environment during their life-time. These multi-accretion episodes should leave traces in the matter orbiting the attractor. Counterrotating and even misaligned structures orbiting around the SMBHs would be consequences of these episodes. Our task in this work is to consider situations where such accretions occur and to trace their remnants represented by several toroidal accreting fluids, corotating or counterrotating relative to the central Kerr attractor, and created in various regimes during the evolution of matter configurations around SMBHs. We focus particularly on the emergence of matter instabilities, i.e., tori collisions, accretion onto the central Kerr black hole, or creation of jet-like structures (proto-jets). Each orbiting configuration is governed by the general relativistic hydrodynamic Boyer condition of equilibrium configurations of rotating perfect fluid. We prove that sequences of configurations and hot points, where an instability occurs, characterize the Kerr SMBHs, depending mainly on their spin–mass ratios. The occurrence of tori accretion or collision are strongly constrained by the fluid rotation with respect to the central black hole and the relative rotation with respect to each other. Our investigation provides characteristic of attractors where traces of multi-accreting episodes can be found and observed.

活跃在银河系原子核（AGN）中的超大质量黑洞（SMBH）的特征是吸引子在其一生中与环境相互作用时具有多个分泌期。这些多积聚的事件应该在围绕吸引子的物质中留下痕迹。这些事件会导致围绕SMBH旋转的结构发生反向旋转甚至错位。我们在这项工作中的任务是考虑发生此类积垢的情况，并追踪它们的残留物，这些残留物由几种环形积垢液（相对于中央Kerr吸引器正转或反向旋转）代表，并在SMBHs周围的物质构造演化过程中以各种方式产生。我们特别关注物质不稳定性的出现，例如，托里碰撞，在克尔黑洞中央的吸积，或创造类似喷气机的结构（原型喷气机）。每个旋转构型都由旋转的理想流体的平衡构型的一般相对论流体力学博耶条件控制。我们证明了Kerr SMBHs的结构和热点序列（其中会发生不稳定性），主要取决于它们的自旋质量比。相对于中心黑洞的流体旋转和相对于彼此的相对旋转强烈地限制了托环的积聚或碰撞的发生。我们的研究提供了吸引子的特征，可以发现并观察到多发性发作的痕迹。我们证明了Kerr SMBHs的结构和热点序列（其中会发生不稳定性），主要取决于它们的自旋质量比。相对于中心黑洞的流体旋转和相对于彼此的相对旋转强烈地限制了托环的积聚或碰撞的发生。我们的研究提供了吸引子的特征，可以发现并观察到多发性发作的痕迹。我们证明了Kerr SMBHs的结构和热点序列（其中会发生不稳定性），主要取决于它们的自旋质量比。相对于中心黑洞的流体旋转和相对于彼此的相对旋转强烈地限制了托环的积聚或碰撞的发生。我们的研究提供了吸引子的特征，可以发现并观察到多发性发作的痕迹。