Komar integral and Smarr formula for axion-dilaton black holes versus S duality
Dimitrios Mitsios, Tomás Ortı́n, David Pereñíguez
Abstract
A bstract 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.
Topics & Concepts
DilatonNoether's theoremAxionPhysicsSymplectic geometryInvariant (physics)Formalism (music)Mathematical physicsTheoretical physicsParticle physicsQuantum electrodynamicsPure mathematicsLagrangianMathematicsDark matterVisual artsArtMusicalBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories