On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action
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| Format: | Preprint |
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2024
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| _version_ | 1866917839130066944 |
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| author | Ortín, Tomás Zatti, Matteo |
| author_facet | Ortín, Tomás Zatti, Matteo |
| contents | 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 T$^{6}$. 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 | Preprint |
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arxiv_https___arxiv_org_abs_2411_10417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action Ortín, Tomás Zatti, Matteo High Energy Physics - Theory General Relativity and Quantum Cosmology 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 T$^{6}$. 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. |
| title | On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.10417 |