  In this thesis I discuss the derivation of the BPS solutions of the most
general N=2, d=5 gauged supergravity with matter. In particular I will
concentrate on the dependence of BPS equations on the choice of the gauging, in
presence of not trivial hypermultiplets (not constant prepotential). My purpose
is, starting from the experience gained in some special examples, to extend the
results of Gauntlett et Gutowski for the minimal gauged case to the theory with
a generic number of hypermultiplets. Two ingredients are fundamental for this
study: rewriting the BPS constraints on the killing spinor in term of bosonic
quantities as first introduced in hep-th/0209114 and the analysis of hyperini
equation.

High Energy Physics - Theory