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This thesis is devoted to the study of black hole solutions in ungaugedfour-dimensional extended Supergravity. We characterize the most generalspherically symmetric and static black-hole solution of ungauged Supergravity,and use the result to study the hidden conformal symmetries of Supergravityblack holes, obtaining the full Virasoro algebra of the dual conformal fieldtheory. We obtain also all the supersymmetric black-hole metrics of allextended Supergravities using the properties of the groups of Type E7. Weintroduce the H-F.G.K. formalism, which simplifies the construction ofnon-supersymmetric black-hole solutions in N=2 Supergravity, and apply it to aclass of theories corresponding to Type-IIA String Theory compactified on aCalabi-Yau threefold. As a result we obtain the so-called "quantum" blackholes, which only exist when certain quantum corrections (perturbative ornon-perturbative, depending on the solution) are included in the prepotential.For the case of non-perturbative black holes, we elaborate on the potentialconsequences of the appearance on the solution of multi-valued functions inrelation to the no-hair theorem for four-dimensional black holes. This thesisalso contains the relevant mathematical background to formulate extendedungauged Supergravity in four-dimensions, that is, Special K\"ahler Geometryand homogeneous spaces, as well as a brief introduction to the mathematicalstructure of four-dimensional extended ungauged Supergravity.

Black Holes in Supergravity with Applications to String Theory