Abstract In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating BTZ black hole can be accurately derived by this topological method. We also calculate the Hawking temperature of the BTZ black hole in massive gravity. Because the metric function of the BTZ black hole in massive gravity has a mass term, the corresponding Hawking temperature cannot be derived unless an integral constant is added.

中文翻译：

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推导出（大质量）BTZ 黑洞全球霍金温度的拓扑方法

摘要 在本文中，我们基于 Robson、Villari 和 Biancalana (RVB) 提出的纯拓扑方法研究了 BTZ 黑洞的霍金温度 [Phys. 修订版 D 99, 044042 (2019)]。通过这种拓扑方法可以准确地推导出带电旋转 BTZ 黑洞的霍金温度。我们还计算了大质量引力下 BTZ 黑洞的霍金温度。由于大质量引力下BTZ黑洞的度量函数有一个质量项，除非加上一个积分常数，否则无法推导出相应的霍金温度。