Bulk-boundary and RPS Thermodynamics from Topology perspective
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916271993389056 |
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| author | Sadeghi, Jafar Alipour, Mohammad Reza Gashti, Saeed Noori Afshar, Mohammad Ali S. |
| author_facet | Sadeghi, Jafar Alipour, Mohammad Reza Gashti, Saeed Noori Afshar, Mohammad Ali S. |
| contents | In this article, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordström (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes. Also, we examine the topological characteristics of the considered black holes and compare them with the extended thermodynamics results. In fact, we have found that the topological behavior of the bulk-boundary thermodynamics is the same as that of the extended thermodynamics, whereas the RPS thermodynamics exhibits a distinct behavior. We also demonstrate that within the RPS formalism, there is only one critical point with a topological charge of +1 $(Q_t=+1)$. Additionally, for RPS formalism, the inclusion of higher derivative curvature terms in the form of Gauss-Bonnet gravity does not alter the topological classification of critical points in charged AdS black holes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_16117 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bulk-boundary and RPS Thermodynamics from Topology perspective Sadeghi, Jafar Alipour, Mohammad Reza Gashti, Saeed Noori Afshar, Mohammad Ali S. General Relativity and Quantum Cosmology High Energy Physics - Theory In this article, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordström (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes. Also, we examine the topological characteristics of the considered black holes and compare them with the extended thermodynamics results. In fact, we have found that the topological behavior of the bulk-boundary thermodynamics is the same as that of the extended thermodynamics, whereas the RPS thermodynamics exhibits a distinct behavior. We also demonstrate that within the RPS formalism, there is only one critical point with a topological charge of +1 $(Q_t=+1)$. Additionally, for RPS formalism, the inclusion of higher derivative curvature terms in the form of Gauss-Bonnet gravity does not alter the topological classification of critical points in charged AdS black holes. |
| title | Bulk-boundary and RPS Thermodynamics from Topology perspective |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.16117 |