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arxiv: 0706.3373 · v2 · submitted 2007-06-22 · ✦ hep-th

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First-order flow equations for extremal black holes in very special geometry

Gabriel Lopes Cardoso , Anna Ceresole , Gianguido Dall'Agata , Johannes M. Oberreuter , Jan Perz
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classification ✦ hep-th
keywords blackextremalholesequationsflowfour-dimensionalfirst-ordergeometry
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We construct interpolating solutions describing single-center static extremal non-supersymmetric black holes in four-dimensional N=2 supergravity theories with cubic prepotentials. To this end, we derive and solve first-order flow equations for rotating electrically charged extremal black holes in a Taub-NUT geometry in five dimensions. We then use the connection between five- and four-dimensional extremal black holes to obtain four-dimensional flow equations and we give the corresponding solutions.

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Cited by 1 Pith paper

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  1. Supersymmetry and Attractors in N = 4 Supergravity

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    Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.