On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action
Abstract The Cano-Ruipérez 4-dimensional string effective action is the simplest consistent truncation of the first-order in α ′ heterotic string effective action compactified on T6. This theory contains, on top of the metric, a dilaton and an axion that couple to the Gauss-Bonnet term and to the Po...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)026 |
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| author | Tomás Ortín Matteo Zatti |
| author_facet | Tomás Ortín Matteo Zatti |
| author_sort | Tomás Ortín |
| collection | DOAJ |
| description | Abstract The Cano-Ruipérez 4-dimensional string effective action is the simplest consistent truncation of the first-order in α ′ heterotic string effective action compactified on T6. This theory contains, on top of the metric, a dilaton and an axion that couple to the Gauss-Bonnet term and to the Pontrjagin density which suggests a very strong relation between the physical and geometrical properties of its solutions. In this paper we study the thermodynamics of the string black-hole solutions of this theory using Wald’s formalism. We construct the on-shell closed generalized Komar, dilaton and axion 2-form charges, and we used them to find the Smarr formula (that we test on the Schwarzschild and Kerr solutions) and to prove no-(primary)-hair theorems for the scalar. We find that α ′ plays the role of a thermodynamical variable with an associated chemical potential. We also notice the occurrence of non-standard gravitational charges in the Wald entropy and scalar charges. |
| format | Article |
| id | doaj-art-f287770fbedd4eaeadd4cc2af45d400b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f287770fbedd4eaeadd4cc2af45d400b2025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612310.1007/JHEP06(2025)026On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective actionTomás Ortín0Matteo Zatti1Instituto de Física Teórica UAM/CSICInstituto de Física Teórica UAM/CSICAbstract The Cano-Ruipérez 4-dimensional string effective action is the simplest consistent truncation of the first-order in α ′ heterotic string effective action compactified on T6. This theory contains, on top of the metric, a dilaton and an axion that couple to the Gauss-Bonnet term and to the Pontrjagin density which suggests a very strong relation between the physical and geometrical properties of its solutions. In this paper we study the thermodynamics of the string black-hole solutions of this theory using Wald’s formalism. We construct the on-shell closed generalized Komar, dilaton and axion 2-form charges, and we used them to find the Smarr formula (that we test on the Schwarzschild and Kerr solutions) and to prove no-(primary)-hair theorems for the scalar. We find that α ′ plays the role of a thermodynamical variable with an associated chemical potential. We also notice the occurrence of non-standard gravitational charges in the Wald entropy and scalar charges.https://doi.org/10.1007/JHEP06(2025)026Black HolesBlack Holes in String TheoryClassical Theories of Gravity |
| spellingShingle | Tomás Ortín Matteo Zatti On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action Journal of High Energy Physics Black Holes Black Holes in String Theory Classical Theories of Gravity |
| title | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| title_full | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| title_fullStr | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| title_full_unstemmed | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| title_short | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| title_sort | on the thermodynamics of the black holes of the cano ruiperez 4 dimensional string effective action |
| topic | Black Holes Black Holes in String Theory Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP06(2025)026 |
| work_keys_str_mv | AT tomasortin onthethermodynamicsoftheblackholesofthecanoruiperez4dimensionalstringeffectiveaction AT matteozatti onthethermodynamicsoftheblackholesofthecanoruiperez4dimensionalstringeffectiveaction |