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

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

2010-12-17

arxiv.org/abs/1012.4020v2

JHEP 1106:070,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP06(2011)070

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.

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