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We study the generalization of the Ansatz of Galli et al. for non-extremalblack holes of N=2,d=4 supergravities for a simple model of N=2,d=5supergravity with a vector multiplet whose moduli space has two branches. Weuse the formalism of Ferrara, Gibbons and Kallosh, which we generalize to anydimension d. We find that the equations of motion of the model studied can becompletely integrated without the use of our Anstaz (which is,nevertheless,recovered in the integration). The family of solutions found (common to bothbranches) is characterized by five independent parameters: the mass M, theelectric charges q_{0},q_{1}, the asymptotic value of the scalar at infinity\phi_{\infty} and the scalar charge \Sigma. The solutions have a singularhorizon whenever \Sigma differs from a specific expression\Sigma_{0}(M,q_{0},q_{1},phi_{\infty}) (i.e. when there is primary scalar hair\Sigma-\Sigma_{0}\neq 0). The family of regular black holes interpolatesbetween its two extremal limits. The supersymmetry properties of the extremalsolutions depend on the choice of branch: one is always supersymmetric and theother non-supersymmetric in one branch and the reverse in the other one.

Non-Extremal Black Holes of N=2,d=5 Supergravity