Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917521493327872 |
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| author | Rahmani, Faramarz Sadeghi, Mehdi |
| author_facet | Rahmani, Faramarz Sadeghi, Mehdi |
| contents | We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black hole branch and compute the global topological invariant W. The system exhibits a duality governed by its Maxwell charge Q: for large Q it falls into the class W = 1, displaying van der Waals-type behavior with a first-order small-large black hole transition. For small Q, it shifts to W = 0, characteristic of a Hawking-Page transition. This topological classification provides a model-independent validation of the conventional thermodynamic analysis. Crucially, we find that the non-minimal coupling lambda stabilizes the Hawking-Page universality class W=0 for black holes with non-zero charge, a phenomenon absent in the standard Reissner-Nordstrom-AdS case. This establishes a direct link between the microscopic coupling and the macroscopic topological class, demonstrating the power of topological methods in decoding thermodynamic universality across modified gravity theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling Rahmani, Faramarz Sadeghi, Mehdi High Energy Physics - Theory We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black hole branch and compute the global topological invariant W. The system exhibits a duality governed by its Maxwell charge Q: for large Q it falls into the class W = 1, displaying van der Waals-type behavior with a first-order small-large black hole transition. For small Q, it shifts to W = 0, characteristic of a Hawking-Page transition. This topological classification provides a model-independent validation of the conventional thermodynamic analysis. Crucially, we find that the non-minimal coupling lambda stabilizes the Hawking-Page universality class W=0 for black holes with non-zero charge, a phenomenon absent in the standard Reissner-Nordstrom-AdS case. This establishes a direct link between the microscopic coupling and the macroscopic topological class, demonstrating the power of topological methods in decoding thermodynamic universality across modified gravity theories. |
| title | Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.20799 |