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Flow equations for non-BPS extremal black holes

2007/02/28 by Anna Ceresole, Gianguido Dall’Agata, Gianguido Dall'Agata · 222 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Class (philosophy) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Flow (mathematics) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Superpotential #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/03/110

published in Journal of High Energy Physics 2007(03), 110 (Springer Nature) · LaTeX, 21 pages, 2 figures. v2: reference added, JHEP version

arxiv created 2007/03/20 · openalex publication_date 2007/03/23 · arxiv updated 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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