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We study general classes and properties of extremal and non-extremal staticblack-hole solutions of N=2, d=5 supergravity coupled to vector multipletsusing the recently proposed H-FGK formalism, which we also extend to staticblack strings. We explain how to determine the integration constants andphysical parameters of the black-hole and black-string solutions. We derivesome model-independent statements, including the transformation of non-extremalflow equations to the form of those for the extremal flow. We apply our methodsto the construction of example solutions (among others a new extremal stringsolution of heterotic string theory on K_3 \times S^1). In the cases where wehave calculated it explicitly, the product of areas of the inner and outerhorizon of a non-extremal solution coincides with the square of themoduli-independent area of the horizon of the extremal solution with the samecharges.

Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism