We study slowly rotating four-dimensional black holes with flat horizon structure in scale-dependent gravity. First, we obtain the solution, and then we study thermodynamic properties as well as the invariants of the theory. The impact of the scale-dependent parameter is investigated in detail. We find that the scale-dependent solution exhibit a new singularity not present in the classical solution.

中文翻译：

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视尺度而定的缓慢旋转的黑洞，具有水平结构

我们研究了在尺度相关的重力下缓慢旋转具有水平平面结构的三维黑洞。首先，我们获得解，然后研究热力学性质以及该理论的不变量。详细研究了与比例相关的参数的影响。我们发现与比例有关的解决方案展现出经典解决方案中不存在的新奇点。