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We perform the characterization program for the supersymmetric configurationsand solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to anarbitrary number of vectors, tensors and hypermultiplets and with generalnon-Abelian gaugins. By using the conditions yielded by the characterizationprogram, new exact supersymmetric solutions are found in the $SO(4,1)/SO(4)$model for the hyperscalars and with $SU(2)\times U(1)$ as the gauge group. Thesolutions also content non-trivial vector and massive tensor fields, the latterbeing charged under the U(1) sector of the gauge group and with selfdualspatial components. These solutions are black holes with $AdS_2 \times S^3$near horizon geometry in the gauged version of the theory and for the ungaugedcase we found naked singularities. We also analyze supersymmetric solutionswith only the scalars $\phi^x$ of the vector/tensor multiplets and the metricas the non-trivial fields. We find that only in the null class the scalars$\phi^x$ can be non-constant and for the case of constant $\phi^x$ we refinethe classification in terms of the contributions to the scalar potential.

Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings