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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2025)026 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |