https://doi.org/10.1140/epjc/s10052-024-13565-0
Regular Article
Notes on solution phase space and BTZ black hole
1
School of Physics and Astronomy, Beijing Normal University, 100875, Beijing, China
2
Key Laboratory of Multiscale Spin Physics, Ministry of Education, Beijing Normal University, 100875, Beijing, China
Received:
24
August
2024
Accepted:
31
October
2024
Published online:
21
November
2024
In this paper, we use the solution phase space approach based on the covariant phase space formalism to compute the conserved charges of the BTZ black hole, namely mass, angular momentum, and entropy. Furthermore, we discuss the first law of the BTZ black hole and the Smarr relation. For completeness, outer horizon and inner horizon cases have been all included. Additionally, the results of the three-dimensional Kerr-dS spacetime have also been obtained. Our results are consistent with previous investigations. Considering the simplicity of the circumstances, we have presented the most detailed possible information, with the aim of facilitating rsearch in related fields.
© The Author(s) 2024
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