Komar integral and Smarr formula for axion-dilaton black holes versus S duality

Autor: Dimitrios Mitsios, Tomás Ortín, David Pereñíguez
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 8, Pp 1-16 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2021)019
Popis: Abstract We construct the Komar integral for axion-dilaton gravity using Wald’s formalism and momentum maps and we use it to derive a Smarr relation for stationary axion-dilaton black holes. While the Wald-Noether 2-form charge is not invariant under SL(2, ℝ) electric-magnetic duality transformations because Wald’s formalism does not account for magnetic charges and potentials, the Komar integral constructed with it turns out to be invariant and, in more general theories, it will be fully symplectic invariant. We check the Smarr formula obtained with the most general family of static axion-dilaton black holes.
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