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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.12814 |
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| _version_ | 1866911970067742720 |
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| author | Zhang, Meng-Yao Chen, Hao Hassanabadi, Hassan Long, Zheng-Wen Yang, Hui |
| author_facet | Zhang, Meng-Yao Chen, Hao Hassanabadi, Hassan Long, Zheng-Wen Yang, Hui |
| contents | In the present study, we investigate the topological properties of black holes in terms of Rényi statistics as an extension of the Gibbs-Boltzmann (GB) statistics, aiming to characterize the non-Boltzmannian thermodynamic topology of Kerr-Sen and dyonic Kerr-Sen black holes. Through this research, we discover that the topological number derived via Rényi statistics differs from that obtained through GB statistics. Interestingly, although the non-extended parameter $λ$ changes the topological number, the topological classification of the Kerr-Sen and dyonic Kerr-Sen black holes remains consistent under both GB and Rényi statistics. In addition, the topological numbers associated with these two types of black holes without cosmological constant using Rényi entropy processes are the same as the AdS cases of them by considering the GB entropy, as further evidenced by such a study found here. This indicates the cosmological constant has some potential connections the with the nonextensive Rényi parameter from the perspective of thermodynamic topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12814 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermodynamic topology of Kerr-Sen black holes via Rényi statistics Zhang, Meng-Yao Chen, Hao Hassanabadi, Hassan Long, Zheng-Wen Yang, Hui General Relativity and Quantum Cosmology In the present study, we investigate the topological properties of black holes in terms of Rényi statistics as an extension of the Gibbs-Boltzmann (GB) statistics, aiming to characterize the non-Boltzmannian thermodynamic topology of Kerr-Sen and dyonic Kerr-Sen black holes. Through this research, we discover that the topological number derived via Rényi statistics differs from that obtained through GB statistics. Interestingly, although the non-extended parameter $λ$ changes the topological number, the topological classification of the Kerr-Sen and dyonic Kerr-Sen black holes remains consistent under both GB and Rényi statistics. In addition, the topological numbers associated with these two types of black holes without cosmological constant using Rényi entropy processes are the same as the AdS cases of them by considering the GB entropy, as further evidenced by such a study found here. This indicates the cosmological constant has some potential connections the with the nonextensive Rényi parameter from the perspective of thermodynamic topology. |
| title | Thermodynamic topology of Kerr-Sen black holes via Rényi statistics |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.12814 |