We investigate clusters of misaligned (inclined) tori orbiting a central static Schwarzschild black hole. To this purpose we considered a set of geometrically thick, pressure supported, perfect fluid tori analyzing purely hydrodynamic models. We study the tori collision emergence and, consequently, the stability properties of the aggregates composed by tori with different inclination angles relative to a fixed distant observer. The aggregate of tilted tori is modeled as a single orbiting configuration, by introducing a leading function governing the distribution of toroids around the black hole attractor. Eventually the tori agglomerate can be seen, depending on the tori thickness, as a (multipole) gobules of orbiting matter, with different toroidal spin orientations , covering the embedded central black hole. These systems are shown to include tori with emerging instability phase related to accretion onto the central black hole. Therefore we provide an evaluation of quantities related to tori energetics such as the mass-flux, the enthalpy-flux, and the flux thickness depending on the model parameters for polytropic fluids. Consequently this analysis places constraints on the existence and properties of tilted tori and aggregate of misaligned disks. Some notes are included on aggregates including proto-jets, represented by open cusped solutions associated to the geometrically thick tori.

中文翻译：

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嵌入的 BHs 和多极小球：围绕静态 SMBHs 的成簇错位厚吸积盘

我们研究了围绕中央静态史瓦西黑洞旋转的未对齐（倾斜）环面簇。为此，我们考虑了一组几何厚度、压力支持、完美的流体环面分析纯流体动力学模型。我们研究了环面碰撞的出现，从而研究了由相对于固定的远处观察者具有不同倾角的环面组成的聚集体的稳定性特性。通过引入控制黑洞吸引子周围环面分布的领先函数，将倾斜环面的集合建模为单个轨道配置。最终，根据环面的厚度，可以看到环面团聚体，作为一个（多极）轨道物质的球状体，具有不同的环形自旋方向，覆盖了嵌入的中央黑洞。这些系统被证明包括具有与中心黑洞吸积相关的新兴不稳定阶段的环面。因此，我们根据多变流体的模型参数对与环面能量相关的量进行评估，例如质量通量、焓通量和通量厚度。因此，该分析对倾斜圆环和未对准圆盘的聚集的存在和属性施加了限制。一些注释包含在聚合体上，包括原始喷射流，由与几何厚环相关的开放尖端解决方案表示。和通量厚度取决于多变流体的模型参数。因此，该分析对倾斜圆环和未对准圆盘的聚集的存在和属性施加了限制。一些注释包含在聚合体上，包括原始喷射流，由与几何厚环相关的开放尖端解决方案表示。和通量厚度取决于多变流体的模型参数。因此，该分析对倾斜圆环和未对齐圆盘的聚集的存在和属性施加了限制。一些注释包含在聚合体上，包括原始喷射流，由与几何厚环相关的开放尖端解决方案表示。