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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.12687 |
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| _version_ | 1866915326380212224 |
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| author | Kim, Kyung Kiu Ho, Jeongwon Hyun, Seungjoon Song, Taehyeon |
| author_facet | Kim, Kyung Kiu Ho, Jeongwon Hyun, Seungjoon Song, Taehyeon |
| contents | : In this note, we study an extra dimension effect on the black hole chemistry in the 8-dimensional Einstein-Yang-Mills-Maxwell theory. The base spacetime contains 4- dimensional compact manifolds and an instanton on top of those. We demonstrate how the extra dimensions affect the phase transition and viable black hole sizes in the 4-dimensional Einstein frame through the black hole chemistry. We focus on asymptotically anti-de Sitter spacetimes for the effective 4-dimensional model obtained by a dimensional reduction. The extra-dimension size determines thermodynamic pressure, and the thermodynamic volume is roughly the horizon size of black holes. Thus, the extra dimension and black hole sizes are related as a conjugate pair of thermodynamic variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12687 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Black Hole Chemistry Knows Extra Dimensions Kim, Kyung Kiu Ho, Jeongwon Hyun, Seungjoon Song, Taehyeon High Energy Physics - Theory General Relativity and Quantum Cosmology : In this note, we study an extra dimension effect on the black hole chemistry in the 8-dimensional Einstein-Yang-Mills-Maxwell theory. The base spacetime contains 4- dimensional compact manifolds and an instanton on top of those. We demonstrate how the extra dimensions affect the phase transition and viable black hole sizes in the 4-dimensional Einstein frame through the black hole chemistry. We focus on asymptotically anti-de Sitter spacetimes for the effective 4-dimensional model obtained by a dimensional reduction. The extra-dimension size determines thermodynamic pressure, and the thermodynamic volume is roughly the horizon size of black holes. Thus, the extra dimension and black hole sizes are related as a conjugate pair of thermodynamic variables. |
| title | Black Hole Chemistry Knows Extra Dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.12687 |