Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917745579261952 |
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| author | Tripathy, Pabitra |
| author_facet | Tripathy, Pabitra |
| contents | The present work delves into examining the thermodynamic properties of the four-dimensional Kerr-Newmann-AdS black hole, employing the recently proposed framework of restricted phase space thermodynamics (RPST). This approach introduces a novel set of paired thermodynamic variables: the central charge $C$ of the corresponding dual conformal field theory (CFT) and the chemical potential $μ$. Through simple analysis, we establish fundamental relationships such as the Euler relation, Gibbs-Duhem relation, and the zeroth order homogeneity of intensive variables. Employing numerical techniques, we explore the thermodynamic processes between these conjugate variables. Our investigation reveals the first-order and second-order phase transitions across various macroscopic processes. Despite the absence of complete analytical expressions, our findings unveil striking similarities in behavior between RN-AdS and Kerr-AdS, underscoring the presence of underlying universality within the RPST formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19229 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space Tripathy, Pabitra High Energy Physics - Theory General Relativity and Quantum Cosmology The present work delves into examining the thermodynamic properties of the four-dimensional Kerr-Newmann-AdS black hole, employing the recently proposed framework of restricted phase space thermodynamics (RPST). This approach introduces a novel set of paired thermodynamic variables: the central charge $C$ of the corresponding dual conformal field theory (CFT) and the chemical potential $μ$. Through simple analysis, we establish fundamental relationships such as the Euler relation, Gibbs-Duhem relation, and the zeroth order homogeneity of intensive variables. Employing numerical techniques, we explore the thermodynamic processes between these conjugate variables. Our investigation reveals the first-order and second-order phase transitions across various macroscopic processes. Despite the absence of complete analytical expressions, our findings unveil striking similarities in behavior between RN-AdS and Kerr-AdS, underscoring the presence of underlying universality within the RPST formalism. |
| title | Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.19229 |