Topological classification of critical points for hairy black holes in Lovelock gravity
Abstract In various fields of mathematical research, the Brouwer degree is a potent tool for topological analysis. By using the Brouwer degree defined in one-dimensional space, we interpret the equation of state for temperature in black hole thermodynamics, $$T=T(V,x_i)$$ T = T ( V , x i ) , as a sp...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13586-9 |
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| author | Meng-Yao Zhang Hou-You Zhou Hao Chen Hassan Hassanabadi Zheng-Wen Long |
| author_facet | Meng-Yao Zhang Hou-You Zhou Hao Chen Hassan Hassanabadi Zheng-Wen Long |
| author_sort | Meng-Yao Zhang |
| collection | DOAJ |
| description | Abstract In various fields of mathematical research, the Brouwer degree is a potent tool for topological analysis. By using the Brouwer degree defined in one-dimensional space, we interpret the equation of state for temperature in black hole thermodynamics, $$T=T(V,x_i)$$ T = T ( V , x i ) , as a spinodal curve, with its derivative defining a new function f. The sign of the slope of f indicates the topological charge of the black hole’s critical points, and the total topological charge can be deduced from the asymptotic behavior of the function f. We analyze a spherical hairy black hole within the framework of Lovelock gravity, paying particular attention to the topological structure of black hole thermodynamics under Gauss–Bonnet gravity. Here, the sign of the scalar hair parameter influences the topological classification of uncharged black holes. When exploring the thermodynamic topological properties of hairy black holes under cubic Lovelock gravity, we find that the spherical hairy black hole reproduces the thermodynamic topological classification results seen under Gauss–Bonnet gravity. |
| format | Article |
| id | doaj-art-a7ac5b6b3673499eba86adddadb8c0dd |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-a7ac5b6b3673499eba86adddadb8c0dd2025-02-02T12:39:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211010.1140/epjc/s10052-024-13586-9Topological classification of critical points for hairy black holes in Lovelock gravityMeng-Yao Zhang0Hou-You Zhou1Hao Chen2Hassan Hassanabadi3Zheng-Wen Long4College of Computer and Information Engineering, Guizhou University of CommerceSchool of Mechanics and Civil Engineering, China University of Mining and Technology, BeijingSchool of Physics and Electronic Science, Zunyi Normal UniversityDepartment of Physics, University of Hradec KrálovéCollege of Physics, Guizhou UniversityAbstract In various fields of mathematical research, the Brouwer degree is a potent tool for topological analysis. By using the Brouwer degree defined in one-dimensional space, we interpret the equation of state for temperature in black hole thermodynamics, $$T=T(V,x_i)$$ T = T ( V , x i ) , as a spinodal curve, with its derivative defining a new function f. The sign of the slope of f indicates the topological charge of the black hole’s critical points, and the total topological charge can be deduced from the asymptotic behavior of the function f. We analyze a spherical hairy black hole within the framework of Lovelock gravity, paying particular attention to the topological structure of black hole thermodynamics under Gauss–Bonnet gravity. Here, the sign of the scalar hair parameter influences the topological classification of uncharged black holes. When exploring the thermodynamic topological properties of hairy black holes under cubic Lovelock gravity, we find that the spherical hairy black hole reproduces the thermodynamic topological classification results seen under Gauss–Bonnet gravity.https://doi.org/10.1140/epjc/s10052-024-13586-9 |
| spellingShingle | Meng-Yao Zhang Hou-You Zhou Hao Chen Hassan Hassanabadi Zheng-Wen Long Topological classification of critical points for hairy black holes in Lovelock gravity European Physical Journal C: Particles and Fields |
| title | Topological classification of critical points for hairy black holes in Lovelock gravity |
| title_full | Topological classification of critical points for hairy black holes in Lovelock gravity |
| title_fullStr | Topological classification of critical points for hairy black holes in Lovelock gravity |
| title_full_unstemmed | Topological classification of critical points for hairy black holes in Lovelock gravity |
| title_short | Topological classification of critical points for hairy black holes in Lovelock gravity |
| title_sort | topological classification of critical points for hairy black holes in lovelock gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13586-9 |
| work_keys_str_mv | AT mengyaozhang topologicalclassificationofcriticalpointsforhairyblackholesinlovelockgravity AT houyouzhou topologicalclassificationofcriticalpointsforhairyblackholesinlovelockgravity AT haochen topologicalclassificationofcriticalpointsforhairyblackholesinlovelockgravity AT hassanhassanabadi topologicalclassificationofcriticalpointsforhairyblackholesinlovelockgravity AT zhengwenlong topologicalclassificationofcriticalpointsforhairyblackholesinlovelockgravity |