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Flow Equations for Non-BPS Extremal Black Holes

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arxiv hep-th/0702088 v2 pith:H66I2ICS submitted 2007-02-12 hep-th

classification hep-th
keywords blackclassequationsextremalholeholesnon-bpssome
verification ladder T0 review T1 audit T2 compute T3 formal
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We exploit some common features of black hole and domain wall solutions of (super)gravity theories coupled to scalar fields and construct a class of stable extremal black holes that are non-BPS, but still can be described by first-order differential equations. These are driven by a "superpotential'', which replaces the central charge Z in the usual black hole potential. We provide a general procedure for finding this class and deriving the associated "superpotential''. We also identify some other cases which do not belong to this class, but show a similar behaviour.

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  1. Optimal paths across potentials on scalar field space

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.

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