On scalar charges and black hole thermodynamics

Romina Ballesteros (Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13–15, C.U. Cantoblanco, Madrid, E-28049, Spain; Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil, Valparaíso, 2950, Chile) ; Carmen Gómez-Fayrén (Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13–15, C.U. Cantoblanco, Madrid, E-28049, Spain) ; Tomás Ortín (Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13–15, C.U. Cantoblanco, Madrid, E-28049, Spain) ; Matteo Zatti (Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13–15, C.U. Cantoblanco, Madrid, E-28049, Spain)

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald’s formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in the background of stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black holes.

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      "surname": "G\u00f3mez-Fayr\u00e9n", 
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      "surname": "Ort\u00edn", 
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      "value": "We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald\u2019s formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in the background of stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black holes."
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Published on:
18 May 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 5
Pages 1-26
DOI:
https://doi.org/10.1007/JHEP05(2023)158
arXiv:
2302.11630
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: