On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action

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 d...

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Detalhes bibliográficos
Autores: Ortín, T., Zatti, M.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:dnet:digitalcsic_::d3c82f7a768667cc1943335912183381
Acesso em linha:http://hdl.handle.net/10261/429170
https://www.scopus.com/pages/publications/105007903396?origin=resultslist
Access Level:acceso abierto
Palavra-chave:Black Holes
Black Holes in String Theory
Classical Theories of Gravity
Descrição
Resumo: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. © The Author(s) 2025.