  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.

General Relativity and Quantum Cosmology;High Energy Physics - Theory