Abstract
We study extremal black hole solutions to four dimensional \( \mathcal{N} = {2} \) supergravity based on a cubic symmetric scalar manifold. Using the coset construction available for these models, we define the first order flow equations implied by the corresponding nilpotency conditions on the three-dimensional scalar momenta for the composite non-BPS class of multi-centre black holes. As an application, we directly solve these equations for the single-centre subclass, and write the general solution in a manifestly duality covariant form. This includes all single-centre under-rotating non-BPS solutions, as well as their non-interacting multi-centre generalisations.
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Bossard, G., Katmadas, S. Duality covariant non-BPS first order systems. J. High Energ. Phys. 2012, 100 (2012). https://doi.org/10.1007/JHEP09(2012)100
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DOI: https://doi.org/10.1007/JHEP09(2012)100