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.
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Galli, P., Goldstein, K., Katmadas, S. et al. First-order flows and stabilisation equations for non-BPS extremal black holes. J. High Energ. Phys. 2011, 70 (2011). https://doi.org/10.1007/JHEP06(2011)070
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DOI: https://doi.org/10.1007/JHEP06(2011)070