Time-dependent backgrounds from supergravity with gauged non-compact R-symmetry

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first-order bosonic equations that extremize the action for supergravity with gauged non-compact R-symmetry. These backgrounds correspond only to neutral matter in vector superfields which have the correct sign of the kinetic energy. We provide examples of five-dimensional multi-centred charged black holes in asymptotic de Sitter space, whose spatial part is given by a time-dependent hyper-Kahler space. Reducing these backgrounds to four dimensions yields asymptotically de Sitter multi-centred charged black-hole backgrounds and we show that they are related to an instanton configuration by a massive T-duality over time. Applying the procedure to N = 2 gauged supergravity in four (and five) dimensions with hypermultiplets, should result in neutral cosmological backgrounds that are regular and correspond to the different de Sitter spaces at early and late times.