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

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arxiv 2106.07495 v1 pith:DE4VNBDK submitted 2021-06-14 hep-th gr-qc

Dimitrios Mitsios , Tomás Ortín , David Pereñíguez This is my paper · ORCID
classification hep-thgr-qc
keywords axion-dilatonblackholesintegralinvariantkomarsmarrduality
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Komar charge of N = 2 supergravity and its superspace generalization

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors derive an on-shell closed, supersymmetric and duality-invariant generalized Komar 2-form for minimal N=2, d=4 supergravity in superspace, with a component-formalism confirmation.

  2. On the thermodynamics of the black holes of the Cano-Ruip\'erez 4-dimensional string effective action

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper derives a Smarr formula and no-hair theorems for string-corrected black holes, with the string length acting as a thermodynamic variable.

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