Entropy of non-extremal STU black holes: the F-invariant unveiled

Abstract

We find a manifestly U-duality invariant formula for the Bekenstein-Hawking entropy of the most general 4 dimensional, stationary, asymptoticaly flat, non-extremal STU black holes constructed recently by Chow and Compère. The expression is entirely in terms of asymptotic charges. It involves the "scalar charges" of the black hole which still need to be solved in terms of the dyonic charges and the mass. We discuss how the formula reduces to some of the known results as the Klauza-Klein black hole and the dilute gas limit of Cvetič and Larsen. We give the expected generalization to an $E_{7(7)}$ invariant in the case of maximal $\mathcal{N}=8$ supergravity.

34 pages, extended discussion of the dependence on asymptotic scalars added

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Cited by in corpus (5)

• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• Killing Horizons: Negative Temperatures and Entropy Super-Additivity
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• $E_{7(7)}$ invariant non-extremal entropy
• Aspects of electric-magnetic dualities in maximal supergravity