Regular black holes, which avoid the essential central singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of higher-curvature corrections, one can obtain different regular black hole solutions in any spacetime dimension D≥5. Utilizing the concept of thermodynamical topology, we examine these black holes as topological thermodynamic defects, classifying them into distinct topological categories based on their generalized free energy. We demonstrate that the Hawking temperature of the black hole has at least one zero point at the small horizon radius limit. Under this fact, the regular black holes generated through the purely gravitational theories exhibit universal thermodynamical behaviors, strongly suggesting they belong to the same topological class. We present a comprehensive analysis of these properties, providing a clearer understanding of the fundamental nature of this type of regular black holes and their classification within the framework of thermodynamical topology.

中文翻译：

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来自纯引力的规则黑洞是否被归类为相同的热力学拓扑结构？


规则黑洞避开了基本的中心奇点，可以通过各种方法构建，包括非线性电动力学和量子校正。最近，研究表明，通过一个无限高曲率校正塔，可以在任何时空维度 D≥5 中获得不同的规则黑洞解。利用热力学拓扑学的概念，我们将这些黑洞作为拓扑热力学缺陷进行研究，并根据它们的广义自由能将它们分为不同的拓扑类别。我们证明，黑洞的霍金温度在小的水平半径极限处至少有一个零点。在这个事实下，通过纯引力理论产生的规则黑洞表现出普遍的热力学行为，强烈表明它们属于同一拓扑类别。我们对这些特性进行了全面的分析，从而更清楚地了解了这种规则黑洞的基本性质及其在热力学拓扑框架内的分类。