Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole
Abstract Motivated by the recent progress on the holographic dual of the extended thermodynamics for black holes in anti-de Sitter (AdS) space, we investigate the holographic thermodynamics for the five-dimensional neutral Gauss–Bonnet AdS black hole in the context of the anti-de Sitter/conformal fi...
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| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14136-7 |
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| author | Si-Jiang Yang Md Sabir Ali Shao-Wen Wei Yu-Xiao Liu |
| author_facet | Si-Jiang Yang Md Sabir Ali Shao-Wen Wei Yu-Xiao Liu |
| author_sort | Si-Jiang Yang |
| collection | DOAJ |
| description | Abstract Motivated by the recent progress on the holographic dual of the extended thermodynamics for black holes in anti-de Sitter (AdS) space, we investigate the holographic thermodynamics for the five-dimensional neutral Gauss–Bonnet AdS black hole in the context of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence. Through the extended bulk thermodynamics for the five-dimensional Gauss–Bonnet AdS black hole, we derive the first law of the CFT thermodynamics which is obtained by directly translating the arbitrary conformal factors in the dual CFT. In addition to the newly defined chemical potential $$\mu $$ μ conjugating to the central charge C, we obtain other pairs of thermodynamics for the CFT, such as the temperature $${\tilde{T}}$$ T ~ and the entropy S, the Gauss–Bonnet coupling constant $${\tilde{\alpha }}$$ α ~ and its conjugate variable $$\tilde{\mathcal {A}}$$ A ~ , the pressure $$\mathcal {P}$$ P and its conjugate volume $$\mathcal {V}$$ V . In the fixed C, $$\mathcal {V}$$ V and $${\tilde{\alpha }}$$ α ~ canonical ensemble, we obtain the canonical description of the CFT thermodynamics and observe the standard swallowtail behavior in the Helmholtz free energy vs the temperature plot. The self-intersection point of the Helmholtz free energy indicates the phase transition between the high and low entropy states of the CFT. By using Maxwell’s equal area law, we get the critical point and coexistence curve for the high and low entropy phases of the CFT. Besides, we get the critical exponents for the CFT, and find that the critical point and critical exponents associated with the $${\tilde{T}}-S$$ T ~ - S criticality of the CFT are the same as those of the five-dimensional Gauss–Bonnet AdS black hole. |
| format | Article |
| id | doaj-art-edea7c724ca647f2858df03771053bee |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-edea7c724ca647f2858df03771053bee2025-08-20T03:18:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411310.1140/epjc/s10052-025-14136-7Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black holeSi-Jiang Yang0Md Sabir Ali1Shao-Wen Wei2Yu-Xiao Liu3Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, Lanzhou UniversityKey Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, Lanzhou UniversityKey Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, Lanzhou UniversityKey Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, Lanzhou UniversityAbstract Motivated by the recent progress on the holographic dual of the extended thermodynamics for black holes in anti-de Sitter (AdS) space, we investigate the holographic thermodynamics for the five-dimensional neutral Gauss–Bonnet AdS black hole in the context of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence. Through the extended bulk thermodynamics for the five-dimensional Gauss–Bonnet AdS black hole, we derive the first law of the CFT thermodynamics which is obtained by directly translating the arbitrary conformal factors in the dual CFT. In addition to the newly defined chemical potential $$\mu $$ μ conjugating to the central charge C, we obtain other pairs of thermodynamics for the CFT, such as the temperature $${\tilde{T}}$$ T ~ and the entropy S, the Gauss–Bonnet coupling constant $${\tilde{\alpha }}$$ α ~ and its conjugate variable $$\tilde{\mathcal {A}}$$ A ~ , the pressure $$\mathcal {P}$$ P and its conjugate volume $$\mathcal {V}$$ V . In the fixed C, $$\mathcal {V}$$ V and $${\tilde{\alpha }}$$ α ~ canonical ensemble, we obtain the canonical description of the CFT thermodynamics and observe the standard swallowtail behavior in the Helmholtz free energy vs the temperature plot. The self-intersection point of the Helmholtz free energy indicates the phase transition between the high and low entropy states of the CFT. By using Maxwell’s equal area law, we get the critical point and coexistence curve for the high and low entropy phases of the CFT. Besides, we get the critical exponents for the CFT, and find that the critical point and critical exponents associated with the $${\tilde{T}}-S$$ T ~ - S criticality of the CFT are the same as those of the five-dimensional Gauss–Bonnet AdS black hole.https://doi.org/10.1140/epjc/s10052-025-14136-7 |
| spellingShingle | Si-Jiang Yang Md Sabir Ali Shao-Wen Wei Yu-Xiao Liu Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole European Physical Journal C: Particles and Fields |
| title | Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole |
| title_full | Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole |
| title_fullStr | Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole |
| title_full_unstemmed | Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole |
| title_short | Holographic thermodynamics of a five-dimensional neutral Gauss–Bonnet AdS black hole |
| title_sort | holographic thermodynamics of a five dimensional neutral gauss bonnet ads black hole |
| url | https://doi.org/10.1140/epjc/s10052-025-14136-7 |
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