English

Flow Equations for Non-BPS Extremal Black Holes

High Energy Physics - Theory 2010-10-27 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0702088,
  title  = {Flow Equations for Non-BPS Extremal Black Holes},
  author = {Anna Ceresole and Gianguido Dall'Agata},
  journal= {arXiv preprint arXiv:hep-th/0702088},
  year   = {2010}
}

Comments

LaTeX, 21 pages, 2 figures. v2: reference added, JHEP version

R2 v1 2026-07-22T15:40:50.906Z