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arXiv · 1012.4020

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

Pietro Galli·Kevin Goldstein·Stefanos Katmadas·Jan Perz
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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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Pietro Galli, Kevin Goldstein, Stefanos Katmadas, Jan Perz. 2010-12-17. First-order flows and stabilisation equations for non-BPS extremal black holes. https://doi.org/10.1007/jhep06(2011)070

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