arxiv: 1012.4020 · v2 · pith:RSLEO6YWnew · submitted 2010-12-17 · ✦ hep-th

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

Pietro Galli , Kevin Goldstein , Stefanos Katmadas , Jan Perz This is my paper

classification ✦ hep-th

keywords equationsstabilisationblackextremalholesnon-bpsanalogousansatz

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

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