English

First-order flows and stabilisation equations for non-BPS extremal black holes

High Energy Physics - Theory 2011-06-24 v2

Abstract

We derive a generalised form of flow equations for extremal static and rotating non-BPS black holes in four-dimensional ungauged N = 2 supergravity coupled to vector multiplets. For particular charge vectors, we give stabilisation equations for the scalars, analogous to the BPS case, describing full known solutions. Based on this, we propose a generic ansatz for the stabilisation equations, which surprisingly includes ratios of harmonic functions.

Keywords

Cite

@article{arxiv.1012.4020,
  title  = {First-order flows and stabilisation equations for non-BPS extremal black holes},
  author = {Pietro Galli and Kevin Goldstein and Stefanos Katmadas and Jan Perz},
  journal= {arXiv preprint arXiv:1012.4020},
  year   = {2011}
}

Comments

27 pages; v2: presentation improved and references added as in the published version

R2 v1 2026-06-21T17:00:50.618Z