Stationary BPS solutions in N=2 supergravity with R-2-interactions

We analyze a broad class of stationary solutions with residual N = 1 supers ymmetry of four-dimensional N = 2 supergravity theories with terms quadrati c in the Weyl tensor. These terms are encoded in a holomorphic function, wh ich determines the most relevant part of the action and which plays a centr al role in our analysis. The solutions include extremal black holes and rot ating field configurations, and may have multiple centers. We prove that th ey are expressed in terms of harmonic functions associated with the electri c and magnetic charges carried by the solutions by a proper generalization of the so-called stabilization equations. Electric/magnetic duality is mani fest throughout the analysis. We also prove that spacetimes with unbroken s upersymmetry are fully determined by electric and magnetic charges. This re sult establishes the so-called fixed-point behavior according to which the moduli fields must ow towards certain prescribed values on a fully supersym metric horizon, but now in a more general context with higher-order curvatu re interactions. We briefly comment on the implications of our results for the metric on the moduli space of extremal black hole solutions.