On timelike supersymmetric solutions of Abelian gauged 5-dimensional supergravity

Abstract We consider 5-dimensional gauged N = 1 $$ \mathcal{N}=1 $$ supergravity coupled to Abelian vector multiplets, and we look for supersymmetric solutions for which the 4-dimensional Kähler base space admits a holomorphic isometry. Taking advantage of this isometry, we are able to find several supersymmetric solutions for the ST[2, n v + 1] special geometric model with arbitrarily many vector multiplets. Among these there are three families of solutions with n v + 2 independent parameters, which for one of the families can be seen to correspond to n v + 1 electric charges and one angular momentum. These solutions generalize the ones recently found for minimal gauged supergravity in JHEP 1704 (2017) 017 and include in particular the general supersymmetric asymptotically-AdS5 black holes of Gutowski and Reall, analogous black hole solutions with non-compact horizon, the three near horizon geometries themselves, and the singular static solutions of Behrndt, Chamseddine and Sabra