Notes on solution phase space and BTZ black hole
Abstract 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 co...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13565-0 |
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| _version_ | 1846100988480454656 |
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| author | Wei Guo |
| author_facet | Wei Guo |
| author_sort | Wei Guo |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-8aaf2b5131ca4047808b605d27ddd9d7 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-8aaf2b5131ca4047808b605d27ddd9d72024-12-29T12:43:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841111510.1140/epjc/s10052-024-13565-0Notes on solution phase space and BTZ black holeWei Guo0School of Physics and Astronomy, Beijing Normal UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-024-13565-0 |
| spellingShingle | Wei Guo Notes on solution phase space and BTZ black hole European Physical Journal C: Particles and Fields |
| title | Notes on solution phase space and BTZ black hole |
| title_full | Notes on solution phase space and BTZ black hole |
| title_fullStr | Notes on solution phase space and BTZ black hole |
| title_full_unstemmed | Notes on solution phase space and BTZ black hole |
| title_short | Notes on solution phase space and BTZ black hole |
| title_sort | notes on solution phase space and btz black hole |
| url | https://doi.org/10.1140/epjc/s10052-024-13565-0 |
| work_keys_str_mv | AT weiguo notesonsolutionphasespaceandbtzblackhole |