The general, duality-invariant family of non-BPS black-hole solutions of N=4, d=4 Supergravity

We present the most general family of stationary point-like solutions of pu re N = 4, d = 4 Supergravity characterized by completely independent electr ic and magnetic charges, mass, angular momentum and NUT charge plus the asy mptotic values of the scalars. It includes, for specific values of the char ges, all previously known BPS and non-BPS, extreme and non-extreme black ho les and Taub-NUT solutions. As a family of solutions, it is manifestly invariant under T and S duality transformations and exhibits a structure related to the underlying special geometry structure of the theory. Finally, we study briefly the black-hole-type subfamily of metrics and give explicit expressions for their entropy and temperature. (C) 2000 Elsevier Science B.V. All rights reserved.