Non-Supersymmetric Attractors in Symmetric Coset Spaces

Abstract

We present a method of constructing generic single-centered and multi-centered extremal black hole solutions in a large class of 4D N=2 supergravities coupled to vector-multiplets with cubic prepotentials. The method is applicable to models for which the 3D moduli spaces obtained via c*-map are symmetric coset spaces. The attractor solutions are generated by certain nilpotent elements in the coset algebra. We present explicit computations in 4D N=2 supergravity coupled to one vector-multiplet, whose 3D moduli space is the symmetric coset space G_{2(2)}/SL(2,R)^2. The non-supersymmetric multi-centered black holes in this model are found to lack the intricate moduli space of bound configurations that are typical of the supersymmetric case.

arXiv comment26 pages, 4 figures, contribution to the Proceedings of the School on Attractor Mechanism 2007 (SAM2007), 18-22 June 2007, INFN-LNF, Frascati, Italy; v2: reference added

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• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• The symmetries of five-dimensional minimal supergravity reduced to three dimensions
• A Note on Non-BPS Black Holes in 5D