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On scalar charges and black-hole thermodynamics
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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 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 oles.
Forward citations
Cited by 2 Pith papers
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Komar charge of N = 2 supergravity and its superspace generalization
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.
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Black hole solutions in theories of supergravity
A review of the history of black hole solutions in supergravity, from early no-superhair theorems to attractor mechanics and alpha-prime corrections.
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